Question

How do you use the remainder theorem to find the remainder for the division `(2x^4+14x^3-2x^2-14x)div(x+7)`?

Answer 1

The remainder is `=0`

Explanation:

Let `f(x)=2x^4+14x^2-2x^2-14x`

Then `f(-7)=2(-7)^4+14(-7)^3-2(-7)^2-14(-7)`

`=4802-4802-98+98=0`

The remainder is `=0`

graph{2x^4+14x^3-2x^2-14x [-25.65, 25.67, -12.83, 12.84]}