P(x)x+ A x(x+ 1x + 1) B. x(1)(x + 1) Facto x'+x +x. C. x( x - 1x + 1) D. x(-1)(x + 1) 3. Which of the following is the factored formed of x'+3x - 10x-24? A. (x+ 4x-3)(x+ 2) B. (x-4)(x-3)(x-2) C. (x-4)(x-3)(x+ 2) D. (x+ 4)(x+3)(x-2) 4. Which of the following is a factor of 2x -5x+3? A. x-3 B. 2x+3 C.x -1 D. 3x +2 5. What are the factors of x - 2x-24? A. (x+ 4)(x-6) 8. (x-12)(x+ 1) C. (x-8(x +3) D. (x+ 12 x- 12)

Q: Factor each expression completely. (a) 4x2 – 25 (b) 2x2 + 5x – 12 (c) x- 3x? – 4x + 12 (d) x* + 27x…

A: Given , The expression to be factorized completely. a).4x2-25 b.)2x2+5x-12 c.)x3-3x2-4x+12

Q: 6. Factor: x* - 45x2 + 324 A. (x-6)(x-3)(x2) B. (x-6)(x- 6)(x+3)(x+ 3) C. (x+ 6)(x+3)(-x²) D.…

A:

Q: If-2x³-6x² + 5x-7 is divided by x-7 to give a quotient of -2x²-20x-135 and a remainder of -952, then…

A: Given: -2x3-6x2+5x-7 is divided by x-7 to give a quotient of -2x2-20x-135 a remainder of -952.

Q: Factorize the following completely axª(x − 2) + 16a(2 − x)

A: To factorize the given expression

Q: Is the polynomial x +x - 12x +3 divisible by x- 3?

A:

Q: Divide (28x + 29x4 + 5x³ + 86x² + 56x + 53) by (-4x – 7) using synthetic division. -7x4 + 5x3 – 10x²…

A: Topic - divison by synthetic division

Q: Abstract Algebra. The polynomial 2x^3 + 3x^2 − 7x − 5 can be factored into linear factors in Z11[x].…

A: Given the polynomial 2x3+3x2−7x−5 in Z11.We can use the result that states, an element a∈F is a zero…

Q: Simplify the polynomial (3x² + 2xy + 5y²) - (-3x² - 2xy + 3y²) O-9x² + xy + 8y² 2x² - 4xy-8y² 3x² +…

A:

Q: Factor the follawing (b-1) (8²-85) to [abe+ 8b] a. b.. (x²+ 2x) (3x+3) (xtl) (3xt4) ex-6) (xt7)…

A:

Q: x+1 In(*(² ) 2x3 –1

A:

Q: Factor. 8x3- 125 O (4x + 5)(2x2- 5x + 25) O (2x- 5)(4x2+ 10x + 25) O • (8x + 5)(x² - 5) C. O (2x-…

A:

Q: What is the quotient and remainder after dividing the following: f (x) = 2x3 18x? – 16x 50 by x- 10…

A: Solution

Q: 7. Is (2x - 5) a factor of (x5+2x4-x³ + 6x-7)?

A: To check in the polynomialHence, the polynomial x5+2x4−x3+6x−7≠0 for x=52 which correspond to the…

Q: Factor each expression completely.

A: Since you have asked multiple subparts, we will solve only first three subpart. To get remaining…

Q: Show that (x-y) is a factor of (x2-7x2+14x-8) ,ccplete factors od expression

A:

Q: What is the value of n to show that (x - 7) is a factor of 2x3 - 13x2 - 10x + n?

A: Given- 2x3-13x2-10x+n To find-  The value of n as x-7 is a factor of the above expression. Concept…

Q: # 2: Add or subtract the following polynomials. Write your answer standard form. 1) (6x+7)+(3x+8) 2)…

A:

Q: prize (a) x + 4x +3+ mx + 3m (b) 4x + 8 = 102 %3D

A: Topic:- factorisation

Q: What is the polynomial expression (5x-2) (4x²–5x+4) in expanded form? A B с 20x³-33x²+30x-8 20x³ +…

A: Given: (5x-2)(4x2-5x+4)

Q: Which of the following expressions are polynomials? (a) 2x- x + V3 (b) x? -- 3Vx 1 (c) x + 4x + 7…

A: Which of the following expressions are polynomials? a) 2x3-12x+3The powers of the variables are 3, 1…

Q: Which of the following is a polynomial? i. x³ + 2x² – 5x+ 2 ii. 5.x³ + 3.x² + x+ 2

A: Given expression, i. x3+2x2-5x+2ii. 5x3+3x2+x+2iii. 5x2+3x

Q: Which of the following is the product of (x - 2)(x + 4)?

A: In this question we have to find product of (x-2)(x+4).

Q: 1. [(b- 1)/ (8b? - 8b)] • [6b? + 8b] 2. [(x? + 2x) / 3x + 6)] • [(3x + 3) / (x + 1)] 3. [(3x + 21) /…

A:

Q: Written as a simplified polynomial in standard form, what is the result when (2x + 2)3 is subtracted…

A: The objective of this question is to simplify the expression x^2 + 5x + 1 - (2x + 2)^3 and write it…

Q: Show that  2x-3 is a factor of x+2x3-9x2+12

A: