Question

Use long division and the Remainder Theorem to evaluate P(c), where

P(x)=x^3−9x^2+16x−10,c=2.

what is the quotient, remainder, and P(c)

Answer 1

you are being asked to divide by
\[x-2\]

Answer 2

long division is a pain. synthetic is easier

Answer 3

cheating is easier still, but if you want the work click on "show steps" and you will see it all worked out
http://www.wolframalpha.com/input/?i=%28x^3%E2%88%929x^2%2B16x%E2%88%9210%29%2F%28x-2%29+