Algebra-2

Question Analysis
This question assesses the student's understanding of long division of polynomials. The problem involves dividing a quadratic polynomial by a linear polynomial and finding the quotient.

Key Concept Explanation
The key concept here is the long division of 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: