7
QuizMultiple Choice

Division of Polynomials

Question 7 • AZ-Common Core Algebra II A

What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)?

Answer
A
x + 2
B
x – 2
C
x + 10
D
x + 6

Explanation

Factor the numerator: x³ + 6x² + 11x + 6 = (x + 1)(x + 2)(x + 3). The denominator factors as x² + 4x + 3 = (x + 1)(x + 3). Cancel the common factors, leaving x + 2, so the quotient is choice A, x + 2.

AI-written and checked against the verified answer.

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