Answer
$4x^2-\frac{14}{5}x-\frac{17}{25}+\frac{284}{25(5x+2)}$
Work Step by Step
Step 1. Write the division as
$\frac{20x^3-6x^2-9x+10}{5x+2}=\frac{1}{5}\times\frac{20x^3-6x^2-9x+10}{x+2/5}$
Step 2. The question did not specify the method, so we can use the synthetic division as shown in the figure.
Step 3. We have
$\frac{20x^3-6x^2-9x+10}{5x+2}=\frac{1}{5}\times(20x^2-14x-\frac{17}{5}+\frac{284/25}{x+2/5})=4x^2-\frac{14}{5}x-\frac{17}{25}+\frac{284}{25(5x+2)}$
