Question

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?

6(10x^2 + 8x + 2)
12(5x^2 + 4x + 2)
6x(10x^2 + 8x + 2)
12x(5x^2 + 4x + 2)

Answer 1

Find common factors of each

60x^2=2*2*3*5*x*x
48x=2*2*2*2*3*x
24=2*2*2*3


find the common group
common gropu is 2*2*3=12

front number shold be 2
the only one is the second option



anwer is second option

Answer 2

For this case we have the following polynomial:

$60x ^ 2 + 48x + 24$

What we must do for this case is to factor the polynomial, so that we have:

1) The number of bottles

2) the weight of each bottle.

We have then:

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

Answer:

A factorization that could represent the number of water bottles and weight of each water bottle is:

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