### Home > PC3 > Chapter 11 > Lesson 11.1.3 > Problem11-50

11-50.

Divide $x^{3} + 3x^{2} − 2x + 1$ by $x^{2} + x − 2$. Remember to express any remainder as a fraction.

$x ^ { 2 } + x - 2 \longdiv { x ^ { 3 } + 3 x ^ { 2 } - 2 x + 1 }$

$\require{enclose} \begin{array}{rll} x \\[-3pt] x^2+x-2\enclose{longdiv}{x^3+3x^2-2x+1}\kern-.2ex \\[-3pt] \underline{-(x^3+x^2-2x)\phantom{000}} \end{array}$

$\require{enclose} \begin{array}{rll} x \\[-3pt] x^2+x-2\enclose{longdiv}{x^3+3x^2-2x+1}\kern-.2ex \\[-3pt] \underline{-(x^3+x^2-2x)\phantom{000}} \\[-3pt]\underline{2x^2+0x+1\phantom{}} \end{array}$