Answer
See explanations.
Work Step by Step
Step 1. Write the Division Algorithm in the form of $f(x)=d(x)\cdot q(x)+r(x)$
Step 2. Identify the divisor $d(x)$ from the long division; we can get $q(x)$ as the quotient, which can be compared with the result from a long division.
Step 3. Letting $d(x)=0$ in the equation, we have $f(0)=r(0)$; that is, $r(x)$ is the remainder function, which can be compared with the remainder from a long division.
Step 4. Make sure that $r(x)$, or the remainder, has a lower degree than the divisor $d(x)$, indicating a complete long division.
