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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $6f^3 - 4f^2$

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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

6f^3 - 4f^2

Express Terms as Products: Now we express each term as a product of the GCF and the remaining factors. $\newline$ $6f^3$ can be written as $2 \times 3 \times f \times f \times f$ , which simplifies to $2f^2 \times 3f$ . $\newline$ $4f^2$ can be written as $2 \times 2 \times f \times f$ , which simplifies to $2f^2 \times 2$ .
Factor Out GCF: We can now factor out the GCF from the polynomial: $\newline$ $6f^3 - 4f^2$ $\newline$ = $2f^2 \times 3f - 2f^2 \times 2$ $\newline$ = $2f^2(3f - 2)$ $\newline$ This is the factored form of the polynomial with the GCF factored out.

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