Question

The answer please I’ve been struggling can’t figure it out

Answer 1

Step-by-step explanation

The remainder theorem is stated as follows: When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k).

Thus, to find the remainder when f(-2) divides

`f(x)=-2x^3+x^2+4x-3`

we will simply substitute x =-2 into the function

`f(-2)=-2(-2)^3+(-2)^2+4(-2)-3`

Simplifying further

`f(-2)=-2*-8+4-8-3=16+4-11=20-11=9`

Therefore, the answer is 9