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QuizMultiple Choice

Division of Polynomials

Question 1 • AZ-Common Core Algebra II A

What is the quotient of (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

Answer
A
x2 + 4x + 9
B
x2 + 2x
C
x2 + 2x + 3
D
x2 + 3x + 8

Explanation

Divide by x + 1 using synthetic division with −1. The coefficients 1, 3, 5, 3 produce quotient coefficients 1, 2, 3 and a remainder of 0, so the quotient is x² + 2x + 3. This matches choice C.

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