9. If the area of a square is given by the polynomial 4x² – 36x + 81, then which of the following expressions represents the length of one side of the square? A 2х - 9 В 2x +9 с 4x — 18 D 4x + 18

Q: Determine values of a and b for 3x^4 - 12x^3 +ax^2 + 34x + b when (x-4) is a factor and there is a…

A: If x-a is a factor of f(x) , then f(a)=0 .

Q: 5. The volume of a rectangular solid is given by the polynomial 3x- 3x - 33x + 54x. The length of…

A: volume of a rectangular solid is 3x4-3x3-33x2+54xlength of the solid is 3x and width is x-2

Q: Enter the degree of the polynomial below. 5x5 +8x²+2x-3x - 8x² - 4x5 A. 5 OB. 9 O C. 8 OP. 6

A: here is the solution:

Q: If the result of a polynomial division is 2x3 - 4x2 - 5x + 23÷ x + 2 make at lease three definitive…

A: Ans

Q: ,37 19 Polynomial P(x)=6x200+7x-2x19+10 is divided by (x+1). Find the remainder. |

A: P(x)=6x200+7x37-2x19+10 Divisor =x-1

Q: When dividing x^3+2x+4 by 3x+2 in Z5[x], the remainder is None of the choices 2

A:

Q: .When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A: use the relation between dividend and divisor for finding the polynomial.

Q: Suppose that x represents the larger of two consecutive odd integers.a. Write a polynomial that…

A: Given :  x represents the larger of two consecutive odd…

Q: 1. Use long division to find each quotient. Divide the first polynomial by the second. 6x + 11x2-…

A:

Q: Dennis used a method for squaring two-digit numbers that end in 5. The method states to find the…

A: We have to square of X i.e. x2

Q: What is true about the degree of the sum and difference of the polynomials 3x5y - 2x3y4 and - 8x5y +…

A: 3x5y - 2x3y4 and - 8x5y + 2x3y4 + xy3

Q: Which of the following is one of the factors of the polynomial 15x-x-2? A x-2 5x-2 с 5x+1 D 3x-1 O a…

A: To determine the factor of the polynomial.

Q: 15. Explain why the following polynomial equation has no teal solutions: 0 = 5x8 + 10Ox + 7x + 18x2…

A: Given : Polynomial 0 = 5x8 + 16x6 + 7x4 + 18x2 + 132   To find : Why the given polynomial has no…

Q: If the remainder after dividing the polynomial (5x³ - 3.x* + k) by (x+ 1) is 4, which of the…

A:

Q: According to Descartes' Rule of Signs, how many positive zeros could the polynomial 3x 4x4 + 2x2 + 9…

A: We have to find the number of positive zeroes of the polynomial.

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: Polynomial (dividend) x4+x3-10x2-1 Remainder is 31 Polynomial (quotient) is x3 -3x2 +2x -8 To find…

Q: 2. For what values of b will the polynomial ƒ (x) =-2x + bx² – 5x +2 have the same remainder when…

A:

Q: For what value of m will the polynomial f (x)=x3+2x2+mx+5 have the same remainder when it is divided…

A: The remainder theorem states that: if a polynomial, p(x) is divided by x-b, then the remainder is…

Q: If the area of a trapezoid, A=1/2h (b1 + b2 ), is 2x2+19x+45 sqaure meters and the two parallel…

A: Suppose the area of the trapezoid is 2x2+19x+45 square meters and two parallel sides are x meters…

Q: If the polynomial ax + bx– 17x-9 is divided x +1, the remainder is -22. If it is divided by x-2, the…

A:

Q: By what polynomial of lowest degree must (x2 – 64)(x² + 5x – 24) be multiplied to make it a perfect…

A: Givem polynomial is (x2-64)(x2+5x-24)To find lowest degree multiplier to make it perfect square.

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0

A: Given, The quadratic equation  5x2 +6x-2 = 0   We have to use the discriminant to find number and…

Q: A polynomial P ( x ) with real coefficients has 5 + 9 i as a zero. What other number must be a zero…

A: Comples zeroes of polynomial always come with conjugate pair. For example if a + b i is zero then a-…

Q: What is the zeros of the polynomial function P(x) = (x+5)(x-3) b. (5,-3) c. (-5,3) When a polynomial…

A:

Q: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

A:

Q: 3. Use polynomial division to show that the general expression for the factors of the difference of…

A:

Q: Given the polynomial expression kz5- 2z4+ 3z3+ 5z2- 3z - 8, if k is a negative integer, how many…

A:

Q: 1. Is (x – 3) a factor of the polynomial p(x) = x' – 11x + 6? Why or why not? 2. What is the…

A:

Q: (d) Show that x^2 − 4 is a factor of x^4 − 5x^3 + 2x^2 + 20x − 24.

A:

Q: Which of the following polynomial expressions factors into (2x - 6)²? O 4x2 - 24x + 36 O 4x2 + 24x +…

A:

Q: 29. Determine BER with the property that x+5 is a factor of the polynomial -3x- 10x + 20x2- 22x + B.

A:

Q: If a polynomial P(x) has (x-7) as a factor, then what number must be a zero of P(x)?

A:

Q: If we divide the polynomial P by the factor x - c and we obtain the equation P(x) = (x – c)Q(x) +…

A: we know that if we divide the polynomial px by the factor x-c and we obtain the equation…

Q: If the area of a triangle is x2 −2x−24 m2 and the base is x−6 m, then what polynomial represents…

A:

Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: Consider the following polynomial. m12,3 - n³z12 (a) Can the polynomial be treated as the difference…

A:

Q: 4. What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x - 6x + 3, and the…

A:

Q: If it is given that -5 is one of the roots of the polynomial z* + 9z3 + 21z² + pz – 130 = 0, find…

A:

Q: Match each expression with its equivalent polynomial. Answers may be used more than once. (3x – 2)…

A:

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

Q: 6.When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A:

Q: 3. Which polynomial expresses the product of 4y(3y² +7y – 11)? O A. 12y³ + 7y – 11 о в. 12у3 + 28у —…

A:

Q: 43. Which polynomial represents the product of 2x – 3 an- x² + 6x – 2? ® 2x + 6x – 6 - © 21 – 18x –-…

A: Given query is to find the product if the expression.

Q: 3. If the area of a rectangle is expressed as x* - 9y? then the product of the length and the width…

A:

Q: Which polynomial gives a quotient of (3x^2 + 2x + 4) and a remainder of 19 when divided by (2x – 3)?…

A: We have to find polynomial on the basis of given information.

Q: _3. Which polynomial gives a quotient of (3x² + 2x + 4) and a remainder of 19 when divided by 2x -…

A: Division algorithm

Q: Which polynomial can be simplified to a difference of squares? O 10a + 3a -3a-16 O 16a2-4a+ 4a - 1 O…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.