Answer:
[tex]\large\boxed{A). \,3(x + 4)(x + 5)}[/tex]
Explanation:
In this question, we're factoring a nominal.
The trinomial we are factoring is:
[tex]3x^2 + 27x+60[/tex]
Lets factor:
[tex]3x^2 + 27x+60\\\\\text{Lets find the greatest common factor}\\\text{All the numbers can be factored by 3, so the GCF is 3}\\\\\text{You would divide each number by 3 and leave 3 on the outside}\\\\3(x^2+9x+20)\\\\\text{Now, we have to factor the x by itself}\\\\5*4= 20,\,\text{and}\,5+4 = 9\\\\3(x+5)(x+4)[/tex]
This means that answer choice A). 3(x + 4)(x + 5) would be the correct answer.
I hope this helped you out.
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