Algebra-2

Question Analysis
This question tests the student's ability to perform long division of polynomials and find the quotient.

Key Concept Explanation
The key concept here is the long division method for polynomials, where the leading term of the dividend is divided 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
1. Divide the leading terms:
Dividend's first term:
Divisor's first term:
Calculate .
Quotient's first term: .
2. Multiply and subtract:
Multiply by the divisor : .
Subtract from the dividend: .
3. Repeat the process:
New leading term:
Calculate .
Quotient's next term: .
Multiply by