Question

How do you use the remainder theorem to determine the remainder when the polynomial `3x^3-12x-2` is divided by `x+2`?

Answer 1

`-2.`

Explanation:

The Remainder Theorem : If a poly. `P(x)` is divided by `(ax+b),`

the remainder is `P(-b/a).`

Accordingly, the remainder`=3(-2)^3-12(-2)-2=-24+24-2=-2.`