Answer
quotient $4x^3+16x^2+60x+246$ and remainder $r(x)=\frac{984}{x-4}$
Work Step by Step
Step 1. Using long division as shown in the figure, we can obtain $\frac{4x^4-4x^2+6x}{x-4}=4x^3+16x^2+60x+246+\frac{984}{x-4}$
Step 2. We can identify the quotient as $4x^3+16x^2+60x+246$ and the remainder as $r(x)=\frac{984}{x-4}$
