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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $6c^3 - 8c^2$

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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

6c^3 - 8c^2

Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms $6c^3$ and $8c^2$ . To do this, we will list the factors of the coefficients and the powers of $c$ . $\newline$ Factors of $6$ : $1, 2, 3, 6$ $\newline$ Factors of $8$ : $1, 2, 4, 8$ $\newline$ The common factors of the coefficients are $1$ and $2$ . $\newline$ For the variable part, since both terms have at least $c^2$ , we can factor out $c^2$ . $\newline$ The GCF of $6c^3$ and $8c^2$ is therefore $8c^2$ $3$ .
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors. $\newline$ For the first term, $6c^3$ divided by $2c^2$ is $3c$ . $\newline$ For the second term, $8c^2$ divided by $2c^2$ is $4$ .
Write Original Polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $6c^3 - 8c^2 = 2c^2(3c - 4)$

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