Question

6.1 greatest common factor: pr
(1 point)
factor out the negative of the greatest common factor:
$-12x^{2}-30x=\square$
preview my answers submit answers
you have attempted this problem 0 times.
you have unlimited attempts remaining.
email instructor

Explanation:

Step1: Find the greatest common factor (GCF)

First, find the GCF of \(12\) and \(30\).
The factors of \(12\) are \(1, 2, 3, 4, 6, 12\).
The factors of \(30\) are \(1, 2, 3, 5, 6, 10, 15, 30\).
The GCF of \(12\) and \(30\) is \(6\).
For the variable part, the GCF of \(x^{2}\) and \(x\) is \(x\).
So the GCF of \(- 12x^{2}\) and \(-30x\) is \(6x\).
Since we need to factor out the negative of the GCF, we factor out \(-6x\).

Step2: Divide each term by \(-6x\)

\(\frac{-12x^{2}}{-6x}=2x\) and \(\frac{-30x}{-6x} = 5\)

Answer:

\(-6x(2x + 5)\)