Question

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x^2 + 48x + 24 ounces.

Which factorization could represent the number of water bottles and weight of each water bottle?

a) 6(10x^2 + 8x + 2)
b) 12(5x^2 + 4x + 2)
c) 6x(10x^2 + 8x + 2)
d) 12x(5x^2 + 4x + 2)

Answer 1

`b)\: 12(5x^2+4x+2)`

Explanation:

The given expression for water bottles is

`60x^2+48x+24`.

The highest common factor of all the terms of this expression is
`12`.

We now factor to obtain;

`12(5x^2+4x+2)`

Hence the the factorization that represents the number of water bottles and the weight of each bottle is the one in option B.

The correct answer is B

We therefore factor to obtain,