Answer
$k^{3}-6k^{2}+11k-6$
Work Step by Step
$\left[\begin{array}{lllllllll}
& k^{2} & -4k & +3 & & & & & \\
& & k & -2 & & & & & \\
-- & -- & -- & -- & & & & & \\
& -2k^{2} & +8k & -6 & \text{multiply by }-2 & & & & \\
k^{3} & -4k^{2} & +3k & & \text{multiply by } k & & & & \\
-- & -- & -- & -- & \text{add like terms } & & & & \\
k^{3} & -6k^{2} & +11k & -6 & & & & &
\end{array}\right.$
Answer: $k^{3}-6k^{2}+11k-6$