Question

What is the factorization of the trinomial below?

3x2 + 27x+60
A. 3(x + 4)(x + 5)
B. 3(x+3)(x+5)
C. (x+4)(x + 13)
D. (x+4)(x + 5)​

Answer 1

`\large\boxed{A). \,3(x + 4)(x + 5)}`

Step-by-step explanation:

In this question, we're factoring a nominal.

The trinomial we are factoring is:

`3x^2 + 27x+60`

Lets factor:

`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)`

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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