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QuizMultiple Choice

Factoring Polynomials: Double Grouping — Unit test

Question 1 • Common Core Algebra I B-IC

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

Answer
4
4m(75m2 + 30m +40)
1
10m(30m2 + 12m +18)
3
30(10m2 +4m + 60)
6
60(5m2 +2m +3)

Explanation

Factor out 60 from the total: 300m² + 120m + 180 = 60(5m² + 2m + 3). The factor 60 can represent the number of months, and the expression in parentheses represents the monthly deposit in dollars. Therefore, the correct choice is D, 60(5m² + 2m + 3).

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