mara carried water bottles to the field to share with her team at halftime. the water bottles weighed a…

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? o 6(10x² + 8x + 2) o 12(5x² + 4x + 2) o 6x(10x² + 8x + 2) o 12x(5x² + 4x + 2)

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? o 6(10x² + 8x + 2) o 12(5x² + 4x + 2) o 6x(10x² + 8x + 2) o 12x(5x² + 4x + 2)

Answer

Explanation:

Step1: Find the greatest - common factor

Find the GCF of 60, 48, and 24. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The GCF of 60, 48, and 24 is 12.

Step2: Factor out the GCF

Factor out 12 from the expression (60x^{2}+48x + 24). We get (12(5x^{2}+4x + 2)).

Answer:

B. (12(5x^{2}+4x + 2))