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

16x^(2)-8x=?
Choose 1 answer:
(A)
8(2x-1)
(B)
8x(2x^(2)-x)
(C)
8x(2x-1)
(D)
8(2x^(2)-x)

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

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Factor quadratics

Full solution

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

\newline

16x^{2}-8x

=?

\newline

Choose

1

answer:

\newline

(A)

8(2x-1)

\newline

(B)

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

\newline

(C)

8x(2x-1)

\newline

(D)

8(2x^{2}-x)

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $16x^2$ and $8x$ . The GCF of $16$ and $8$ is $8$ . The GCF of $x^2$ and $x$ is $x$ . Therefore, the GCF of $16x^2$ and $8x$ is $8x$ .
Calculate GCF of numbers: Now we divide each term by the GCF to find the other factor. $\newline$ $16x^2 \div 8x = 2x$ $\newline$ $8x \div 8x = 1$ $\newline$ So, the expression $16x^2 - 8x$ factored by taking out the GCF $8x$ is $8x(2x - 1)$ .

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