13
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Cumulative exam

Question 13 • Common Core Algebra I B-IC

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

Answer
A
y = (x + 8)(x + 3)
B
y = (x + 4)(x + 6)
C
y = (x + 9)(x + 2)
D
y = (x + 7)(x + 4)

Explanation

Factor x² + 11x + 24 by finding two numbers whose product is 24 and whose sum is 11. Those numbers are 8 and 3, so x² + 11x + 24 = (x + 8)(x + 3). Therefore, the equivalent equation is y = (x + 8)(x + 3), choice A.

AI-written and checked against the verified answer.

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