Chapter R - Section R.5 - Polynomials - R.4 Assess Your Understanding - Page 49: 94

Quotient = $\quad 3x-1$ Remainder = $\quad x-2$

$\begin{array}{llllll} & 3x & -1 & & & \\ & -- & -- & -- & -- & \\ x^{2} \ \ ) & 3x^{3} & -x^{2} & +x & -2 & \\ & 3x^{3} & & & & \\ & -- & -- & -- & -- & \\ & & -x^{2} & +x & -2 & \\ & & -x^{2} & & & \\ & & -- & -- & -- & \\ & & & +x & -2 & \\ & & & & & \end{array}$ Check: $(x^{2})(3x-1)+(x-2)=$ $=3x^{3}-x^{2}+x-2$