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

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Answer 1 · 2017-03-08T07:29:13

$-2.$

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

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

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

How do you use the remainder theorem to determine the remainder when the polynomial 3x^3-12x-23x^3-12x-2 is divided by x+2x+2?