Question

Hello, I need some assistance with this homework question please for precalculusHW Q15

Answer 1

The remainder theorems state that 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).

Given

`f(x)=4x^3-10x^2+10x-4`

since f(x) is divided by x - 2, the remainder is

`f(2)=4(2)^3-10(2)^2+10(2)-4=4(8)-10(4)+20-4=32-40+20-4=8`

Therefore, the remainder is 8