Question

Use the Remainder Theorem to evaluate P(c).

P(x) = x4 + 7x³ – 6x – 11,
-
X
f(-1) =
[
C = -1

Answer 1

`-11`

Explanation:

`P(-1)` is the remainder when
`P(x)` is divided by
`x+1`.

`(x^4 + 7x^3 - 6x-11)/(x+1)=x^3 + 6x^2 - 6x-(11)/(x+1)`.

The remainder is
`-11`, so
`P(c)=-11`.