Which expression is the result of factoring the expression below by taking out its greatest common factor? 4x^(2)+16 x-4=? Choose 1 answer: (A) 2x(2x^(2)+8x-2) (B) 4(x^(2)+4x-1) (C) 4x(x^(2)+4x-1) (D) 2(2x^(2)+8x-2)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression 4x^2 + 16x - 4. The GCF of 4x^2, 16x, and -4 is 4.Factor out GCF from each term: Factor out the GCF from each term in the expression. 4x^2 + 16x - 4 = 4(x^2 + 4x - 1)Check factored expression: Check the factored expression to ensure that when the GCF is distributed back into the parentheses, the original expression is obtained. 4(x^2 + 4x - 1) = 4x^2 + 16x - 4

Home

Math Problems

Algebra 2

Factor quadratics

Full solution

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

\newline

4x^{2}+16x-4=?

\newline

Choose

1

answer:

\newline

(A)

2x(2x^{2}+8x-2)

\newline

(B)

4(x^{2}+4x-1)

\newline

(C)

4x(x^{2}+4x-1)

\newline

(D)

2(2x^{2}+8x-2)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression $4x^2 + 16x - 4$ . $\newline$ The GCF of $4x^2$ , $16x$ , and $-4$ is $4$ .
Factor out GCF from each term: Factor out the GCF from each term in the expression. $4x^2 + 16x - 4 = 4(x^2 + 4x - 1)$
Check factored expression: Check the factored expression to ensure that when the GCF is distributed back into the parentheses, the original expression is obtained. $4(x^2 + 4x - 1) = 4x^2 + 16x - 4$