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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)

Respuesta :

kudzordzifrancis

Answer:

[tex]b)\: 12(5x^2+4x+2)[/tex]

Step-by-step explanation:

The given expression for water bottles is

[tex]60x^2+48x+24[/tex].


The highest common factor of all the terms of this expression is [tex]12[/tex].


We now factor to obtain;

[tex]12(5x^2+4x+2)[/tex]

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,


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