Factor. 18m^3 - 6m^2 - 15m + 5 ______

Identify Common Factor: Look for a common factor in all terms. Check if there is a greatest common factor (GCF) that can be factored out from all terms of the polynomial 18m^3 - 6m^2 - 15m + 5. The GCF of 18m^3, 6m^2, 15m, and 5 is 1, so there is no common factor to factor out from all terms.Group Terms: Group terms to facilitate factoring by grouping. Group the first two terms together and the last two terms together: (18m^3 - 6m^2) + (-15m + 5).Factor Out GCF: Factor out the GCF from each group. From the first group (18m^3 - 6m^2), factor out 6m^2, and from the second group (-15m + 5), factor out -5. 6m^2(3m - 1) - 5(3m - 1).Factor Out Common Binomial: Factor out the common binomial factor. Now that we have a common binomial factor (3m - 1), we can factor it out. (6m^2 - 5)(3m - 1).

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Algebra 1

Factor by grouping

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Q. Factor.

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18m^3 - 6m^2 - 15m + 5

Identify Common Factor: Look for a common factor in all terms. $\newline$ Check if there is a greatest common factor (GCF) that can be factored out from all terms of the polynomial $18m^3 - 6m^2 - 15m + 5$ . $\newline$ The GCF of $18m^3$ , $6m^2$ , $15m$ , and $5$ is $1$ , so there is no common factor to factor out from all terms.
Group Terms: Group terms to facilitate factoring by grouping. $\newline$ Group the first two terms together and the last two terms together: $18m^3 - 6m^2$ + $-15m + 5$ .
Factor Out GCF: Factor out the GCF from each group. $\newline$ From the first group $18m^3 - 6m^2$ , factor out $6m^2$ , and from the second group $-15m + 5$ , factor out $-5$ . $\newline$ $6m^2(3m - 1) - 5(3m - 1)$ .
Factor Out Common Binomial: Factor out the common binomial factor. $\newline$ Now that we have a common binomial factor $(3m - 1)$ , we can factor it out. $\newline$ $(6m^2 - 5)(3m - 1)$ .