Question

Let P be a polynomial function, and P(x) = a¹-da³ + 8x² - 14x + 16. If (-2) is a factor of the polynomial, what is the value of d?

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BIUS x, x

Answer 1

To find the value of d when (-2) is a factor of a polynomial, substitute (-2) into the polynomial function and solve for d.

Step-by-step explanation:

To find the value of d, we know that (-2) is a factor of the polynomial. This means that if we substitute (-2) into the polynomial function, the result should be equal to 0. Therefore, we have:

P(-2) = a¹-d(-2)³ + 8(-2)² - 14(-2) + 16 = 0

Simplifying this equation gives us:

a - 8d + 32 + 28 + 16 = 0

Combining like terms, we have:

-8d + a + 76 = 0

As there is no more information given, we cannot determine the exact value of d without knowing the value of a.

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