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

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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

8j^2 - 6j

Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms $8j^2$ and $6j$ . To do this, we will list the factors of the coefficients and the powers of $j$ . $\newline$ Factors of $8$ : $1$ , $2$ , $4$ , $8$ $\newline$ Factors of $6$ : $1$ , $2$ , $6j$ $1$ , $6$ $\newline$ The common factors of the coefficients are $1$ and $2$ . $\newline$ Since both terms have at least one $j$ , we can factor out $j$ as well. $\newline$ The GCF of $8j^2$ and $6j$ is therefore $6j$ $9$ .
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors. $\newline$ For $8j^2$ , we divide by $2j$ to get $4j$ . $\newline$ For $6j$ , we divide by $2j$ to get $3$ .
Write Original Polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $8j^2 - 6j = 2j(4j - 3)$

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