Logan saves the same amount of money each month for college. His current total savings is 300 m squared plus 120 m plus 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?
Answer
A
30 times open paren 10 m squared plus 4 m plus 60 close paren
B
60 times open paren 5 m squared plus 2 m plus 3 close paren
C
10 m open paren 30 m squared plus 12 m plus 18 close paren
D
4 m open paren 75 m squared plus 30 m plus 40 close paren
Explanation
A correct factorization must multiply back to 300m² + 120m + 180. Distributing 60 in choice B gives 60(5m²) + 60(2m) + 60(3) = 300m² + 120m + 180. The other choices do not produce the given expression.
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