Answer
$x^{4}+x^{3}+x^{2}+3x+2$
Work Step by Step
Multiply each term of one polynomial with the terms of the other polynomial,
and combine like terms
$ \begin{array}{ccccccccccc}
x^{2}(x^{2}-x+2) = & x^{4} & -x^{3} & +2x^{2} & & & \\
+ & & & & & & \\
2x(x^{2}-x+2) = & & 2x^{3} & -2x^{2} & +4x & & \\
+ & & & & & & \\
1(x^{2}-x+2)= & & & x^{2} & -x & +2 & \\\hline\\
\text{Combine} & x^{4} & +x^{3} & +x^{2} & +3x & +2 &
\end{array} $
