Question

If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?

Answer 1

9

Explanation:

Answer 2

The remainder is: f(-1) = -4

Explanation:

We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)

Given the function

`f\left(x\right)\:=\:x^4\:-\:5`

It is stated that the function f(x) is divided by x + 1.

Thus, substituting x = -1 in the function to find the remainder f(-1)

i.e

f(-1) = (-1)⁴ - 5

f(-1) = 1 - 5

f(-1) = -4

Therefore,

The remainder is: f(-1) = -4