8. Which of the following is not a factor of 6x² –18x ? (1) x-3 (3) 12 (2) 2 (4) x

Q: Find the value of k such that x − 4 is a factor of x3 − kx2 + 2kx − 8.

A: Here we have to find the value of k,  It is given that,  x − 4 is a factor of f(x)= x3 − kx2 + 2kx −…

Q: The coefficient е со of x in 8x 5x +2x + 7

A: Given 8x3+5x2+2x+7

Q: Choose the correct conclusion based on the following synthetic division: -5)2 - 10 3 - 38 -15 35 15…

A: In synthetic division, 1. The elements of the top row represent the coefficients of the dividend. 2.…

Q: 6. Find the value of k if (x + 2) is a factor of x + 4x2 + x + k

A:

Q: 8. Which of the following is NOT a factor of x4- 4x2 ?

A:

Q: Is there a way to eliminate some of the combinations of factors for x + bx + c when c is positive?

A: To eliminate the factors from the quadratic

Q: 1. Which of the following is a factor of 2-9x + 20? A x-9 B x-4 C X+4 x+5 x+20 DE

A: We are given a quadratic equation: x2-9x+20 The factor of this equation is:

Q: 2. What is the value of k such that (x-4) is a factor of x3 - kx2 -11x+12. A. -12 B. -4 C. 2 D. 6

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that your friend factors 36x2y + 48xy2 as follows:36x2y + 48xy2 = (4xy)(9x + 12y)…

A: Given expression - 36x2y+48xy2The way it has been factorised in the question is correct, but there…

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: Which of the following is a factor of 6x² + 17x + 12? O 3x + 4 O 2x +4 O 3x + 3 O None of the above

A:

Q: 4.  Show that X2? −4 is a factor of x4− 5x3 +2x?2+20x−24.

A:

Q: Find the value of k so that x-2 is a factor of P(x) = 2x3 – x2 + kx + 2

A:

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: List all the possible factors of: S(x) = 2x* - 3x' +2x -7x-8

A:

Q: What is the correct factorization of 2t2 -t-3? O (2t + 3)(t – 1) O (2t – 3)(t + 1) O (2t – 1)(t+3).…

A: From the given polynomial; 2t2-t-3

Q: What is the equation whose roots are reciprocal of the roots of the equation of 2x2 + 5x + 2 = 0?

A:

Q: What is the completely factored form of xy – xn

A: Given : xy3 - x3y

Q: One of the factors of 4x - 9 is 1) (x+3) 2) (2x +3) 3) (4x – 3) (x – 3) 4)

A: Given: Let the given expression is 4x2-9   Formula used: a2-b2=(a-b)(a+b)

Q: Which of the following is the factored form of x^3 + 3x^2 – 10x – 24? * - O (x - 4)(x – 3)(x – 2) O…

A: Let f(x) = x3 + 3x2 - 10x - 24

Q: What is the coefficient of (x^8)(y^12) in the expansion of (2x+3y)^20

A:

Q: One of the factors of 4x2-9 is 1) (x+3) 2) (2x +3) 3) (4x-3) 4) (x-3)

A: we have to find the one of the factor of 4x^2 -9

Q: 7. Given that (x-2) and (x+3) are factors of f(x) = 2x* + 7x³ – 4x² – 27x -18.

A: Consider the provided function, fx=2x4+7x3-4x2-27x-18 Given that x-2 and x+3 are the factor of…

Q: Which of the following is NOT a factor of x6 – 4x* – x³ + 4x? x - 1 x? - 4 x³ + 1

A: To find the factor of x6-4x4-x3+4x

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: If (x-3) is a factor of x3 - 13x+ 12, what are the other factors. A. (x-6) and (x+2) B. (x- 2) and…

A:

Q: What is the coefficient of x3y2x3y2 in the expansion of (2x−3y)5(2x−3y)5?

A: From the binomial expansion of (2x-3y)^5, we get the coefficient of x^3.y^2.

Q: what is the leading coefficient and end behaviour of x(3x - 4)(-2x + 1)(x - 5)

A:

Q: Determine the coefficient of x7y10 in (2x + 3y)17?

A:

Q: The product of 2x³ + 3x² +1 and 2x² + 4 in z5[x]/ is: None 5x^2+ 5x +1 x^2+2 4x+1

A: Group of integers modulo 5 Z5=0, 1, 2, 3, 4 Now  Z5x denotes the ring of polynomials with…

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

A:

Q: 1. What is the remainder when a. − 3x^3+ 2x^2 − 5x + 8 is divided by x − 4 b. 4x^4 − x^3+ 12x^2 + 24…

A:

Q: What is the coefficient of x 9 in (x 3 + x) 5?

A: What is the coefficient of x9 in x3+x5.

Q: 1. Write the complete factored form of f(x). y 8. y = f(x) 4 -2 2 3 -8

A: Note  Factor form of a function is given by  f(x) =(x-a)(x-b)(x-c)....... and so on Where  a,b,c are…

Q: 2) Write the factored form of the equation for the given polynomial. y (-1, 4) 4 -5 -2 -4

A:

Q: (d) Show that x² – 4 is a factor of x* – 5x³ + 2x? + 20x – 24.

A:

Q: 1 Factor the alge 7x +63

A: We have to factor

Q: What is the coefficient of x9 in (2 − x)^19.

A:

Q: 15) What are the factors of x2 - 81y2? A) (x+ 81y)(x - y) B) (x-9y)(x - 9y) C) (x+9y)(x - 9y) D)…

A:

Q: Which of the following is a factor of 500x3 + 108y18?  6  5x + 3y6  25x2 + 15xy6 + 9y2  All of…

A: The solution for the above question is as shown below.

Q: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

A:

Q: 8. Which of the following is not a factor of 6x-18x? (1) x-3 (3) 12 (2) 2 (4) x

A:

Q: If x – 2 is a factor of x3- 4x2 + 8x + k then the value of k is

A: Given: x-2 is a factor of x3-4x2+8x+k.

Q: Which of the following is not a factor of 45x-5? (1) 9x2-1 (3) x-5 (2) 5 (4) 3x+1 O 2 3

A: We have to check

Q: If (x + 3) is a factor of x3 – 13x – 12, what are the other factors. А. (х — 6) and (х + 2) В. (х —…

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.