5x3 is a monomial of degree 3. Example 4.4.7. 60a5 is a monomial of degree 5. Example 4.4.8. 21b2 is a monomial of degree 2. Example 4.4.9. 8 is a monomial of degree 0. We say that a nonzero number is a term of 0 degree since it could be written as 8x0. Since x0 = 1(x ≠ 0), 8x0 = 8. The algebraic expression that is a polynomial is -6x³ + x² - √5. What is a polynomial function? A polynomial function is an expression that consists of different types of variables. They include non-zero coefficients, positive exponents, and constants. Types of polynomals include:. Linear functionApr 9, 2017 · An algebraic expression having two or more (unlike) terms is called a Multinomial. For example: $5x^2 - 2x$ is a multinomial having $2$ terms, $5x^3- 2xy + 7y^2$ is a multinomial having $3$ terms, $7xy - 9yz + 6zx - 7$ is a multinomial having $4$ terms. Polynomials in two or more variables: Jan 12, 2021 ... This video will demonstrate the concept of algebraic expression. We will also define and give you examples of the following terms like ...By default, when you open the Outlook Express application on your computer, you should see a toolbar at the top of the window with buttons for various functions, including composin...A polynomial expression is a expression of the form: where n belong to non-negative integers and are real numbers. 1) This is not a polynomial because the …Polynomials are algebraic expressions that are created by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, …Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -3. t2 - 4t - 3t - 12. Step-4 : Add up the first 2 terms, pulling out like factors : t • (t-4) Add up the last 2 terms, pulling out common factors : 3 • (t-4) Step-5 : Add up the four terms of step 4 : An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression. Here are more examples:Polynomials are special algebraic expressions where the terms are the products of real numbers and variables with whole number exponents. The degree of a polynomial with one variable is the largest exponent of the variable found in any term.Have you wanted to develop more of an indie style? See these five ways to express your indie style with these fashion tips. Advertisement Are you stuck in a fashion rut? Tired of l...By default, when you open the Outlook Express application on your computer, you should see a toolbar at the top of the window with buttons for various functions, including composin...Polynomial. In mathematics, a polynomial is a kind of mathematical expression. It is a sum of several mathematical terms called monomials. That is, a number, a variable, or a product of a number and several variables. When an algebraic expression contains letters mixed with numbers and arithmetic, like , there is a good chance that it is a ... A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable whereas a binomial is an algebraic expression of the sum or the difference of two terms. For example, in the expression 3x2 +4x+5, we have the sum of the terms 3x2,4x and 5x0 having same …A polynomial is an algebraic sum in which no variables appear in denominators or under radical signs, and all variables that do appear are raised only to positive-integer powers. For instance, the trinomial – 2xy–1 + 3 x−−√ – 4 – 2 x y – 1 + 3 x – 4 is not a polynomial; however, the trinomial 3x2y4 + 2–√ xy– 1 2 3 x 2 y ... To determine which algebraic expressions are polynomials, we need to understand what characterizes a polynomial. A polynomial is an algebraic expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.Example 1: Not A Polynomial Due To A Square Root In One Term. Consider the expression: 2x + √x – 5. This is not a polynomial, since we have a square root in the second term. Note that this expression is equivalent to one with a variable that has a fraction exponent, since: 2x + √x – 5 = 3x + x1/2 – 5.This module was designed and written with you in mind. It is here to help you master the Algebraic Expressions. The scope of this module permits it to be used in many different learning situations. The language used recognizes the diverse vocabulary level of students. The lessons are arranged to follow the standard sequence of the course.Therefore, this expression is a polynomial. c) c) c) Again we write the expression in the form of powers. 8 x 2 + x = 8 x 2 + x 1 2. 8x^2 +\sqrt x=8x^2 +x^{\frac{1}{2}}. 8 x 2 + x = 8 x 2 + x 2 1 . The power 2 2 2 is an element of the set of whole numbers, but the power 1 2 \frac{1}{2} 2 1 is not an element of the set of whole numbers so this ... A trinomial is a simplified polynomial with three terms. The first option is not a polynomial because of the presence of √x. The second option is not a trinomial because it has only two terms. This is trinomial because it has three terms and cannot be simplified further. There is not fractional exponent.PLEASE HELP TIMED Which algebraic expression is a polynomial with a degree of 4? A 5x^4 +square root of 4x B x^5 – 6x^4 + 14x^3 + x^2 C 9x^4 – x^3 – x over 5 D 2x^4 – 6x^4 + 14 over x. loading. See answer. loading. plus. Add answer +5 pts. loading. Ask AI. more. Log in to add comment. Advertisement . Diamondwashere is waiting for …Dec 04, 2023. In summary, while all polynomials are algebraic expressions, not all algebraic expressions are polynomials. The term algebraic covers a broader spectrum of mathematical concepts, whereas polynomial specifically describes a particular form of algebraic expression with certain restrictions on how variables and constants interact. 5.A polynomial can't have a negative exponent. Polynomials can have no variable at all, or one variable or two or more variables.exponents can only be 0,1,2 or multiples not in fractions. Based on above definition, (iii) 1 − √ 5 x is not polynomial because it's exponent is …The essential feature of disorder of written expression is writing skills (as measured by an individually-admi The essential feature of disorder of written expression is writing sk...Oct 16, 2023 ... Which one of the following algebraic expressions is a polynomial in variable \( \mathrm{x} \) ? a.Sep 27, 2020 · Polynomials are algebraic expressions that contain any number of terms combined by using addition or subtraction. A term is a number, a variable, or a product of a number and one or more variables with exponents. Like terms (same variable or variables raised to the same power) can be combined to simplify a polynomial. The distinction between a polynomial expression and the polynomial that it represents is relatively recent, and mainly motivated by the rise of computer algebra, where, for example, the test whether two polynomial expressions represent the same polynomial may be a nontrivial computation. Categorical characterizationIt's the one place you get to release your full self, no filters. Learn how to express yourself here. To express yourself creatively means manifesting all that you are —your talent...There are 2 important factors to consider when deciding whether you should take the Heathrow Express from Heathrow Airport into London. We may be compensated when you click on prod...American Express has announced the launch of its first all-digital consumer checking account for eligible U.S. consumer card members. American Express has announced the launch of i...A polynomial consists of two or more terms. For example, x + y, y 2 – x 2, and x 2 + 3 x + 5 y 2 are all polynomials. A binomial is a polynomial that consists of exactly two terms. For example, x + y is a binomial. A trinomial is a polynomial that consists of exactly three terms. For example, y 2 + 9 y + 8 is a trinomial. Polynomials usually are arranged in one …By that definition, all the options except option D are not polynomial. Option A contains n in denominator. Option B contains square root of m. Option C contains n in denominator. Option D is polynomial as it satisfies the definition. Thus, out of all options, the 4th option is polynomial, rest are not polynomial. Learn more here:An algebraic expression is a mathematical phrase that contains integral or fractional constants (numbers), variables (alphabets) and algebraic operators (such as addition, subtraction, division, multiplication, etc.) operating on them. These expressions are expressed in the form of terms, factors and coefficients. a + 1, a + b, x 2 + y, 5x/2, etc. …Nov 13, 2021 ... So a quadratic expression is considered a second degree polynomial. ... Which Algebraic Expressions are Not Polynomials Non Negative Exponents.An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression. Here are more examples:See full list on mathsisfun.com Expert-verified. Determine whether the algebraic expression is a polynomial. If it is a polynomial, write the polynomial in standard form, determine the degree, and state whether it is a monomial, a binomial, or a trinomial. If a polynomial has more than three terms, say the expression is a polynomial. 9−5q+2q2 Select the correct choice below ...Cubic polynomials are used in various areas of mathematics and science, including physics, engineering, and economics. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers. Let us learn more about cubic polynomials, the definition, the formulas, and solve a few examples.Identify the terms, the coefficients, and the exponents of a polynomial. Polynomials are algebraic expressions that are created by combining numbers and variables using …A trinomial is a simplified polynomial with three terms. The first option is not a polynomial because of the presence of √x. The second option is not a trinomial because it has only two terms. This is trinomial because it has three terms and cannot be simplified further. There is not fractional exponent.A polynomial is a combination of terms separated using or signs. Polynomials cannot contain any of the following: 1. Variables raised to a negative or fractional exponent. (,,). 2. Variables in the denominator. (,,). 3. Variables under a radical. (,,). 4. Special features. (trig functions, absolute values, logarithms, ). Step 2. Determine if the expression breaks any …Identify the terms, the coefficients, and the exponents of a polynomial. Polynomials are algebraic expressions that are created by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, division, and exponentiation. You can create a polynomial by adding or subtracting terms.5x3 is a monomial of degree 3. Example 4.4.7. 60a5 is a monomial of degree 5. Example 4.4.8. 21b2 is a monomial of degree 2. Example 4.4.9. 8 is a monomial of degree 0. We say that a nonzero number is a term of 0 degree since it could be written as 8x0. Since x0 = 1(x ≠ 0), 8x0 = 8. A trinomial is a simplified polynomial with three terms. The first option is not a polynomial because of the presence of √x. The second option is not a trinomial because it has only two terms. This is trinomial because it has three terms and cannot be simplified further. There is not fractional exponent.The algebraic expression containing three terms is called a trinomial. Here, 3x, 2y and 6 are three terms. Question 54. A polynomial contains _____ number of terms: (a) One (b) Two (c) Three (d) Any. Answer. Answer: (d) Any Hint: A polynomial can contain any number of terms, one or more than one.Polynomial. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates ... A rational fraction is the quotient (algebraic fraction) of two polynomials. Any algebraic expression that can be rewritten as a rational fraction is a rational function. While polynomial functions are defined for all values of the variables, a rational function is defined only for the values of the variables for which the denominator is not zero. A polynomial is defined as an algebraic expression whose maximum power is a non-negative integer. Let us see all the given options in detail. (a) 5x 4 + square root of 4x …A polynomial is an algebraic sum in which no variables appear in denominators or under radical signs, and all variables that do appear are raised only to positive-integer powers. For instance, the trinomial – 2xy–1 + 3 x−−√ – 4 – 2 x y – 1 + 3 x – 4 is not a polynomial; however, the trinomial 3x2y4 + 2–√ xy– 1 2 3 x 2 y ... The lawn is the green portion in Figure 1. Figure 1. The area of the entire region can be found using the formula for the area of a rectangle. A = = = lw 10x ⋅ 6x 60x2 units2 A = l w = 10 x ⋅ 6 x = 60 x 2 units 2. The areas of the portions that do not require grass seed need to be subtracted from the area of the entire region.An algebraic expression is a mathematical phrase that contains variables, numbers and operations. Examples of an algebraic expression include a + 1, 2 – b, 10y, and y + 6. In an al...Polynomials are special algebraic expressions where the terms are the products of real numbers and variables with whole number exponents. The degree of a polynomial with one variable is the largest exponent of the variable found in any term.A polynomial is an algebraic expression of additions, subtractions, and ordered multiplications made of variables, constants, and exponents. Polynomials are made up of finite terms. Each term is an expression that contains one or more of the three elements of which they are made: variables, constants, or exponents. A polynomial (in a variable ) is a function or an expression that can be evaluated by combining the variable and possibly some constants by a finite number of additions, subtractions, and multiplications. Note that the list excludes divisions (although a number like would be considered a constant). Also excluded are radicals like although a ...The algebraic expression containing three terms is called a trinomial. Here, 3x, 2y and 6 are three terms. Question 54. A polynomial contains _____ number of terms: (a) One (b) Two (c) Three (d) Any. Answer. Answer: (d) Any Hint: A polynomial can contain any number of terms, one or more than one.Multinomial. An algebraic expression containing more than one term (cf., binomial ). The term is also used to refer to a polynomial .A polynomial is a mathematical expression consisting of variables, coefficients, and the operations of addition, subtraction, multiplication, and non-negative integer exponents. …If you were asked to simplify the polynomial, you should have a list of all unlike term like shown in the video: 2x^3 + 2x^2 + 4. 1) Factored form is not simplified form. 2) Even if asked for factored form, you would not factor only 2 out of 3 terms. You would need to factor a common factor from all 3 terms. Hope this helps.In mathematics, monomials, binomials, trinomials and polynomials are all algebraic expressions. The expressions that are represented using unknown variables, constants and coefficients, are called algebraic expressions. A variable can take any value, it is not fixed but a constant is a fixed value. To make these algebraic expressions such as ... : Get the latest TCI Express stock price and detailed information including news, historical charts and realtime prices. Indices Commodities Currencies StocksQuestion Which one of the following algebraic expressions is a polynomial in variable x? A x 2 + 2 x 2 B x + 1 x C x 2 + 3 x 3 2 x D None of these Solution The correct option is C …Personal finance is often not taught in schools - here's are some quick tips for the money management basics you will need to address. So maybe you aced algebra in school, but when...I am curious to know why if a mathematical expression contains an exponential function that expression may NOT be considered an algebraic expression, but if it contains a power function (if the variable is the base of a power expression) then that expression as a whole can be considered an algebraic expression.1. Write the expression. Finding the degree of a polynomial with multiple variables is only a little bit trickier than finding the degree of a polynomial with one variable. Let's say you're working with the following expression: x 5 y 3 z + 2xy 3 + 4x 2 yz 2. 2. Add the degree of variables in each term.A rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials. These are examples of rational expressions: 1 x. . x + 5 x 2 − 4 x + 4. . x ( x + 1) ( 2 x − 3) x − 6. .Example 2: Not A Polynomial Due To A Square Root In The Expression. Consider the expression: √ (x – 8) + 4. This is not a polynomial, since we have a square root in the first term. Note that this expression is equivalent to one with a variable that has a fraction exponent, since: √ (x – 8) + 4 = (x – 8)1/2 + 4. Click here 👆 to get an answer to your question ️ The algebraic expression 4x2 + 3Vx+5 is a polynomial Please select the best answer from the choices provide ... Where the degree of the polynomial is equal to the greatest power (in this case 5). You write: 4x^2 + 3Vx + 5A polynomial is an expression of two or more algebraic terms, often having different exponents. Adding polynomials... Read More Save to Notebook! Sign in Send us …Aug 7, 2023 ... Which of the following algebraic expressions is not a polynomial? a. 3 b. \( \sqrt{5} x^{3}-3 x^{2 / 3}-9 \) -c. \( \frac{17}{2} x^{2}+x-3 ...Since, the highest degree in a polynomial is called the degree of the polynomial, While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term. In , Sum of exponents are 5, 6, 6, 5, So, degree of the polynomial is 6. In , Sum of exponents are 5, 5, 5, 4, So, degree of the polynomial is 5. …In Algebra "Degree" is sometimes called "Order" Degree of a Polynomial (with one variable) A polynomial looks like this: example of a polynomial this one has 3 terms The Degree …A rational expression (or rational algebraic expression) is a ratio of two polynomials. Think of it as a fraction but instead of whole numbers, its numerator and denominator are polynomials. Formally, a rational expression R(x) is the ratio of two polynomials P(x) and Q(x), such that the value of the polynomial Q(x) is not equal to 0 …Intermediate algebra is a high school level mathematics subject meant to prepare the student for college level algebra. Some of the specific concepts taught are the quadratic formu...Statement1: The polynomial P (x) = 4x3 –3x2 +5x–6 when divided by x–1 gives zero as the remainder. Statement2: (x–1) is a factor of the polynomial P (x) = 4x3 –3x2 +5x–6. View Solution. Q 2. Which of the following is a polynomial ?To calculate a polynomial, substitute a value for each variable in the polynomial expression and then perform the arithmetic operations to obtain the result. What are monomial, binomial, and trinomial? A monomial is a polynomial with a single term, a binomial is a polynomial with two terms, and a trinomial is a polynomial with three terms.Oct 23, 2015 ... This video introduces students to polynomials and terms. Part of the Algebra Basics Series: ...If it is, write the polynomial in standard form.2x-1+5+6x. Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. 2 x - 1 + 5 + 6 x. There are 2 steps to solve this one. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example, 5x 2 - x + 1 is a polynomial.The algebraic expression 3x 3 + 4x + 5/x + 6x 3/2 is not a polynomial, since one of the powers of 'x' is a fraction and the other is negative. Polynomials are expressions with one or more terms having a non …National Express Group News: This is the News-site for the company National Express Group on Markets Insider Indices Commodities Currencies StocksA trinomial is usually formed by three unlike terms to represent a quantity in mathematical form. In a trinomial, the three unlike terms are connected by plus or minus or both to form an algebraic expression. In algebra, a trinomial is also called as a polynomial of three terms and it is possibly formed in two different forms.Therefore, this expression is a polynomial. c) c) c) Again we write the expression in the form of powers. 8 x 2 + x = 8 x 2 + x 1 2. 8x^2 +\sqrt x=8x^2 +x^{\frac{1}{2}}. 8 x 2 + x = 8 x 2 + x 2 1 . The power 2 2 2 is an element of the set of whole numbers, but the power 1 2 \frac{1}{2} 2 1 is not an element of the set of whole numbers so this ...POLYNOMIAL EXPRESSION • One commonly used in algebraic expression is called polynomial. A polynomial is one variable, x, is defined as a single term or a sum of terms of the form ax^n where a is a real number and the exponent n is a nonnegative integer. For each term a is called coefficient an n is called the degree of the …According to the iPracticeMath website, many people use polynomials every day to assist in making different kinds of purchases. The site points out that people are often unaware of...Statement1: The polynomial P (x) = 4x3 –3x2 +5x–6 when divided by x–1 gives zero as the remainder. Statement2: (x–1) is a factor of the polynomial P (x) = 4x3 –3x2 +5x–6. View Solution. Q 2. Which of the following is a polynomial ?Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. ... and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x 2 +x-12. In this example, there are three terms: x 2, x and -12. Also, …10. View Solution. Q 5. State whether the given algebraic expression is polynomial? Justify. 2−5√x. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:write an algebraic expression which is …Nov 2, 2022 ... Algebraic Expression - Terms, Variables, Degree of Polynomials - Grade 7 Math Second Quarter #algebra #algebraicexpression #mathteachergon.Feb 11, 2020 · The algebraic expression which is a polynomial with a degree of 3 is 4x^3-2y^3+5y^2-5y and 3y3--xy=3y^3+xy, the correct options are A, C. What is an expression? Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. Given; Example 2: Not A Polynomial Due To A Square Root In The Expression. Consider the expression: √ (x – 8) + 4. This is not a polynomial, since we have a square root in the first term. Note that this expression is equivalent to one with a variable that has a fraction exponent, since: √ (x – 8) + 4 = (x – 8)1/2 + 4. The distinction between a polynomial expression and the polynomial that it represents is relatively recent, and mainly motivated by the rise of computer algebra, where, for example, the test whether two polynomial expressions represent the same polynomial may be a nontrivial computation. Categorical characterizationA polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable whereas a binomial is an algebraic expression of the sum or the difference of two terms. For example, in the expression 3x2 +4x+5, we have the sum of the terms 3x2,4x and 5x0 having same …
By using the rational zeroes theorem write the given function in factored form and determine all zeroes. Note a=1. g (x)=x^4+4 x^3-17 x^2-24 x+36 g(x)= x4 +4x3−17x2 −24x+36. college algebra. Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial ... . Nfl interception leaders
A binomial is an expression with two terms. The prefix 'bi' means 'two'. Monomial. A monomial is an expression made up of only one term. Polynomial. A polynomial is an expression with at least one algebraic term, but which does not indicate division by a variable or contain variables with fractional exponents.Solution. The polynomial is an algebraic expression containing variables and constants with a restriction that the variable must have non-negative integral exponent. An algebraic expression in which variable have negative integral exponent or any non-integral exponent can't be termed as polynomial. So, 2 m 2 − 5 m + 6 is polynomial.Monomial. In algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials and are called 'terms' when they are a part of larger polynomials.Sep 1, 2021 · A monomial is an algebraic expression with one term. When it is of the form \(ax^n\), where \(a\) is a constant, \(n\) is a whole number, and \(x\) is a variable, it is called a monomial in one variable. A monomial, or two or more monomials combined by addition or subtraction, is a polynomial. Some polynomials have special names, based on the ... Constant term. In mathematics, a constant term (sometimes referred to as a free term) is a term in an algebraic expression that does not contain any variables and therefore is constant. For example, in the quadratic polynomial. the 3 is a constant term. [1] After like terms are combined, an algebraic expression will have at most one constant term.Aug 11, 2016 · The algebraic expression that is a polynomial with a degree of 2 is EXPLANATION The degree of a term of a polynomial is the total sum of the exponents of the variables in each term. The highest degree of the polynomial is considered the degree of the polynomial. For first option, the highest degree is 3. The second option is, The distinction between a polynomial expression and the polynomial that it represents is relatively recent, and mainly motivated by the rise of computer algebra, where, for example, the test whether two polynomial expressions represent the same polynomial may be a nontrivial computation. Categorical characterization Q. Which of the following expressions is a polynomial in one variable? (a) x + 2 x + 3. (b) 3 x + 2 x + 5. (c) 2 x 2 - 3 x + 6. (d) x 10 + y 5 + 8. Q. Which among the following correctly represents a polynomial expression and polynomial equation in the variable x? Q. A polynomial is a mathematical expression consisting of variables, coefficients, and the operations of addition, subtraction, multiplication, and non-negative integer exponents. …an algebraic expression containing 1 or more terms (monomial, binomial, or trinomial) Monomials. an expression that can be written as a real number, a variable, or a product of a real number and one or more variables w/ NONnegative powers. Binomials. A polynomial with two terms. Trinomials. A polynomial with three terms. Expression. a group of …An algebraic expression which is having only one term is known as a monomial. Examples of monomial expressions include 3x 4, 3xy, 3x, 8y, etc. Binomial Expression. A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8, xyz + x 3, etc. Polynomial Expression5 days ago · Polynomials are generally a sum or difference of variables and exponents. Each part of the polynomial is known as a “term”. Polynomial examples −−\[4x^{2} + 3x - 7\] Rules for an Expression to be a Polynomial. An algebraic expression should not consist of – Square root of variables. Fractional powers on the variables. To simplify an expression with fractions find a common denominator and then combine the numerators. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. Simplify any resulting mixed numbers. Show more.Sum of such algebraic expressions which contains variables with non negative integer powers and real number coefficients is a polynomial. By that definition, …A polynomial is a mathematical expression consisting of variables, coefficients, and the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are an important part of the "language" of mathematics and algebra. They are used in nearly every field of mathematics to express numbers as a result of mathematical operations. Polynomials are ... A polynomial is an expression containing constants and variables connected only through basic operations of algebra. Learning Objectives Describe what polynomials are and their defining characteristics Key Takeaways Key Points A polynomial is a finite expression constructed fr... By that definition, all the options except option D are not polynomial. Option A contains n in denominator. Option B contains square root of m. Option C contains n in denominator. Option D is polynomial as it satisfies the definition. Thus, out of all options, the 4th option is polynomial, rest are not polynomial. Learn more here:An algebraic expression is a description of a set of operations that are to be done in a certain order. In this chapter, you will learn to specify a different set of operations that will produce the same results as a given set of operations. ... Multiplication of algebraic expressions Multiply polynomials by monomials. Calculate \(3 \times 38 ...Which polynomial is represented by the algebra tiles? 2x² - 4x - 6. Which algebraic expression is a polynomial with a degree of 5? 2xy4 + 4x²y³ - 6x³y² - 7x4. Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn⁵ - 2m⁶ + 5m²n⁴ - m³n³ + n⁶ - 4m⁶ + 9m²n⁴ - mn⁵ - 4m³n³. Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial.A monomial is a ….