Algebra-2

Question Analysis
This question tests the student's ability to perform long division of polynomials. The problem requires the student to divide a cubic polynomial by a linear polynomial and find the quotient.

Key Concept Explanation
Long division of polynomials involves dividing the leading term of the dividend by the leading term of the divisor to get the first term of the quotient. This process is repeated until the degree of the remainder is less than the degree of the divisor.

Step-by-step Solution
Step 1: Divide the leading terms
Dividend's first term:
Divisor's first term:
Calculate .
Quotient's first term: .
Step 2: Multiply and subtract
1. Multiply by the divisor :
2. Subtract from the dividend:
New polynomial: .
Step 3: Repeat the process
1. New leading term: .
Calculate .
Quotient's next term: .
2. Multiply by