Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain. (2 points)

x-8 is a factor of f(x)

Step-by-step explanation:

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the function

And it's required to find if x-8 is a factor of f.

Applying the mentioned theorem, we only have to find f(8):

Operating:

Thus, x-8 is a factor of f(x)

hope this is what you were asking for!

step-by-step explanation: