Question

What is the remainder when polynomial `3x^100+5x^85-4x^38+2x^17-6` is divided by `x+1`?

Answer 1

`-14`

Explanation:

In general, the remainder when dividing a polynomial `f(x)` by `(x-a)` is `f(a)`.

So given:

`f(x) = 3x^100+5x^85-4x^38+2x^17-6`

The remainder when dividing `f(x)` by `(x+1)` is:

`f(-1) = 3-5-4-2-6 = -14`