Respuesta :
Answer:
12(5x2 4x 2)
Step-by-step explanation:
The water bottles weighed a total of
60x^2 + 48x + 24 ounces
Taking 12 as the highest common factor gives:
12(5x^2 + 4x + 2)
where 12 is the number of bottles and (5x^2 + 4x + 2) is the weight of each one.
Using the greatest common factor, it is found that the factorization that could represent the number of water bottles and weight of each water bottle is given by 12(5x² + 4x + 2).
How to find the greatest common factor of multiple numbers?
It is given by the multiplication of the prime factors that are factors of all these numbers.
In this problem, the expression is given by:
[tex]60x^2 + 48x + 24[/tex]
Hence, we have to find the GCF of 60, 48 and 24. Then:
60 - 48 - 24|2
30 - 24 - 12|2
15 - 12 - 6|3
5 - 4 - 2
Hence, GCF(60,48,24) = 12, and the factored expression is given by:
[tex]60x^2 + 48x + 24 = 12\left(\frac{60x^2}{12} + \frac{48x}{12} + \frac{24}{12}\right) = 12(5x^2 + 4x + 2)[/tex][/tex]
More can be learned about the greatest common factor at https://brainly.com/question/6032811
