10
QuizMultiple Choice

Factoring Polynomials: GCF

Question 10 • Common Core Algebra I B-IC

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle?

Answer
A
6(10x2 + 8x + 2)
B
12(5x2 + 4x + 2)
C
6x(10x2 + 8x + 2)
D
12x(5x2 + 4x + 2)

Explanation

Factor out 12 from each term: 60x² ÷ 12 = 5x², 48x ÷ 12 = 4x, and 24 ÷ 12 = 2. Thus 60x² + 48x + 24 = 12(5x² + 4x + 2), so choice B represents 12 water bottles with each bottle weighing 5x² + 4x + 2 ounces.

AI-written and checked against the verified answer.

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