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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $5j^3 - 10j^2$

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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

5j^3 - 10j^2

Identify GCF: We have the polynomial: $\newline$ $5j^3 - 10j^2$ $\newline$ First, we need to identify the greatest common factor (GCF) of the two terms $5j^3$ and $10j^2$ . $\newline$ The factors of $5j^3$ are $5$ , $j$ , $j$ , and $j$ . $\newline$ The factors of $10j^2$ are $2$ , $5$ , $j$ , and $j$ . $\newline$ The common factors are $5$ , $j$ , and $j$ . $\newline$ Therefore, the GCF is $10j^2$ $5$ .
Divide by GCF: Now we will divide each term by the GCF to factor it out. $\newline$ For the first term: $\newline$ $5j^3 \div 5j^2 = j$ $\newline$ For the second term: $\newline$ $10j^2 \div 5j^2 = 2$
Factor out GCF: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $5j^3 - 10j^2$ $\newline$ = $5j^2 * j - 5j^2 * 2$ $\newline$ = $5j^2(j - 2)$

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