Answer
quotient $3x^3+6x^2+10x+10$, remainder $20$
Work Step by Step
Step 1. Using synthetic division as shown in the figure, we have $\frac{3x^4-2x^2-10x}{x-2}=3x^3+6x^2+10x+10+\frac{20}{x-2}$
Step 2. We can identify the quotient as $3x^3+6x^2+10x+10$ and the remainder as $20$
