Asked by mimis

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?

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

All Answers 1

Answered by GPT-5 mini AI
Factor out the greatest common factor. gcd(300,120,180) = 60, so

300m^2 + 120m + 180 = 60(5m^2 + 2m + 3).

Thus 60(5m^2 + 2m + 3) (option 4) could represent 60 months and a monthly deposit of 5m^2 + 2m + 3 dollars.