edgarrenteria04
edgarrenteria04 edgarrenteria04
  • 13-12-2020
  • Mathematics
contestada

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

Respuesta :

absor201
absor201 absor201
  • 14-12-2020

Answer:

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

Step-by-step explanation:

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

Given the function

[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]

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

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