logan saves the same amount of money each month for college. his current total savings is 300m² + 120m + 180…

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?\n4m(75m² + 30m + 40)\n10m(30m² + 12m + 18)\n30(10m² + 4m + 60)\n60(5m² + 2m + 3)

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?\n4m(75m² + 30m + 40)\n10m(30m² + 12m + 18)\n30(10m² + 4m + 60)\n60(5m² + 2m + 3)

Answer

Explanation:

Step1: Find the GCF of coefficients

Find the greatest - common factor of 300, 120, and 180. The GCF of 300, 120, and 180 is 60.

Step2: Factor out the GCF

Factor out 60 from the expression (300m^{2}+120m + 180). We get (60(5m^{2}+2m + 3)).

Answer:

60(5m² + 2m + 3)