Answer
$3x^{4}-7x^{3}+7x^{2}-\displaystyle \frac{32}{3}x+3$
Work Step by Step
Multiply each term of one polynomial with the terms of the other polynomial,
and combine like terms
$\left.\begin{array}{cllllll}
x(3x^{3}-6x^{2}+5x-9) = & 3x^{4} & -6x^{3} & +5x^{2} & -9x & \\
+ & & & & & \\
-\frac{1}{3}(3x^{3}-6x^{2}+5x-9) = & & -x^{3} & +2x^{2} & -\frac{5}{3}x & +3
\end{array}\right.$
Combine like terms:
= $3x^{4}-7x^{3}+7x^{2}-\displaystyle \frac{32}{3}x+3$