Question

NO LINKS!!!!!!

Use the remainder theorem to find f(c).

f(x) = x^4 - 6x^2 + 4x - 4; c = -3

f(c) = ______________

Answer 1

f(c) = 11

Explanation:

Remainder Theorem

When we divide a polynomial f(x) by (x − c) the remainder is f(c).

Given function:

`f(x) = x^4 - 6x^2 + 4x - 4`

`c=-3`

To find the remainder after dividing by (x - c) simply calculate f(c):

`\begin{aligned}f(-3)&=(-3)^4-6(-3)^2+4(-3)-4\\&=81-54-12-4\\&=27-12-4\\&=15-4\\&=11\end{aligned}`

Therefore, f(c) = 11.