Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the form f(x) = (x - k)q(x) + r for the given value of k. f(x) = - 6x3 + 2x² + 5x – 10; k = 2 O A. f(x) = (x- 2)(- 6x2 - 10x + 15) – 40 O B. f(x) = (x- 2)(- 6x2 + 10x + 25) – 40 O C. f(x) = (x - 2)(- 6x2 - 10x - 15) – 40 O D. f(x) = (x + 2)(- 6x2 + 10x + 25) – 40

Q: Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given…

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Q: Use synthetic division to divide P(x)=7x3+13x2−23x+3P(x)=7x3+13x2-23x+3 by x = 17

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Q: - Given f(x) = 2r - 5x + x - 7, a. Evaluate f(4). b. Determine the remainder when f(x) is divided by…

A: GIVENfx=2x4−5x3+x2−7

Q: Evaluate at the given value using synthetic division. f (a) = 2a – 13a² + 16a + 7 f (4)

A: We have given f(a).  We have to find f(4) by using synthetic division

Q: What will be the remainder of f(x) = 3x - 2x? - 5x - 6 if it is divided by x - 2? *

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Q: Use the Remainder Theorem to evaluate the following functions: 5. F(x) = 3x + 8x? + 5x – 7; x=-2 6.…

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Q: 1. Divide. x4 – 2x2 + 7x x2 – x + 3

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Q: Use synthetic division to show that c is a zero of f (x) .

A: fx=3x4+8x3-2x2-10x+4,   c=-2 By using synthetic division, we get -2 3        8        -2        -10…

Q: given f(x)=20x3-23x-4, evaluate f(1/2) using synthetic division.

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Q: Simplify P(x) + Q(x). * P(x) and Q(x) are polynomials whereP(x) = 2x- 5x + 4 and Q(x) = 3x- 10. %3D…

A: given: Px=2x2-5x+4  and Qx=3x-10

Q: Is x+ 4 a factor of f(x) = x5 + 10x4 + 29x3 – 28x2 (Use Synthetic Division in conjunction with the…

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