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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $4x^2 - 8x$

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Factor out a monomial

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Q. Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

4x^2 - 8x

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the polynomial $4x^2 - 8x$ . The common factors of $4x^2$ and $8x$ are $4$ and $x$ . GCF of $4x^2$ and $8x$ : $4x$
Write terms as products: Write each term as the product of the GCF and the remaining factors. $\newline$ $4x^2$ can be written as $4x \times x$ . $\newline$ $8x$ can be written as $4x \times 2$ .
Factor out the GCF: Factor out the GCF from the polynomial. $\newline$ $4x^2 - 8x$ $\newline$ = $4x \times x - 4x \times 2$ $\newline$ = $4x(x - 2)$

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