Answer
For the long division polynomial problem, the answer may be checked by multiplying the divisor by the quotient, and then adding the remainder. You then obtain the dividend.
Work Step by Step
If $\operatorname{f}\left( x \right)$ , $\operatorname{g}\left( x \right)$ , $\operatorname{p}\left( x \right)$ , $\operatorname{q}\left( x \right)$ are the dividend, divisor, quotient and remainder, then according to the division algorithm:
$\underbrace{\operatorname{f}\left( x \right)}_{\text{Dividend}}=\underbrace{\operatorname{g}\left( x \right)}_{\text{Divisor}}\cdot \underbrace{\operatorname{p}\left( x \right)}_{\text{Quotient}}+\underbrace{\operatorname{q}\left( x \right)}_{\text{Remainder}}$
