Which expression is the result of factoring the expression below by taking out its greatest common factor?

Question

4x^2 +16x-4=
Choose 1 answer:
Choose 1 answer:
(Choice A)


A

(Choice B)


B

(Choice C)


C

(Choice D)


D

Answer 1

To factor the expression \(4x^2 + 16x - 4\) by taking out its greatest common factor (GCF), we first need to identify the GCF of the coefficients.

1. The coefficients are \(4\), \(16\), and \(-4\). The GCF of \(4\), \(16\), and \(-4\) is \(4\).

Next, we can factor out \(4\) from the expression:

\[ 4x^2 + 16x - 4 = 4(x^2 + 4x - 1) \]

Thus, the expression factored by taking out the greatest common factor is:

\[ 4(x^2 + 4x - 1) \]

You can choose the option that matches \(4(x^2 + 4x - 1)\) from the provided choices A, B, C, or D.