Algebra-2

Question Analysis
This question tests the student's ability to perform synthetic division on a polynomial and find both the quotient and the remainder.

Key Concept Explanation
Synthetic division is a simplified method for dividing a polynomial by a linear binomial of the form . It involves using only the coefficients of the polynomial and the constant from the divisor.

Step-by-step Solution
1. Write down the coefficients of : .
2. Use as the divisor since we are dividing by .
3. Bring down the first coefficient: .
4. Multiply by and add to the next coefficient: .
5. Multiply by and add to the next coefficient: