Factor. 3q^3 - 12q^2 - 5q + 20 ______

Identify Common Factor: Look for a common factor in all terms. Check if there is a common factor that can be factored out from all terms of the polynomial 3q^3 - 12q^2 - 5q + 20. There is no common factor in all terms.Grouping for Facilitation: Group terms to facilitate factoring by grouping. We can group the terms as follows: (3q^3 - 12q^2) and (-5q + 20). Now, factor out the common factors from each group. 3q^3 - 12q^2 = 3q^2(q - 4) -5q + 20 = -5(q - 4)Factor by Grouping: Factor by grouping. Now that we have a common binomial factor (q - 4), we can factor by grouping. The polynomial can be written as: 3q^2(q - 4) - 5(q - 4) Factor out the common binomial factor (q - 4): (q - 4)(3q^2 - 5)

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Algebra 2

Factor by grouping

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Q. Factor.

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3q^3 - 12q^2 - 5q + 20

Identify Common Factor: Look for a common factor in all terms. $\newline$ Check if there is a common factor that can be factored out from all terms of the polynomial $3q^3 - 12q^2 - 5q + 20$ . $\newline$ There is no common factor in all terms.
Grouping for Facilitation: Group terms to facilitate factoring by grouping. $\newline$ We can group the terms as follows: $(3q^3 - 12q^2)$ and $(-5q + 20)$ . $\newline$ Now, factor out the common factors from each group. $\newline$ $3q^3 - 12q^2 = 3q^2(q - 4)$ $\newline$ $-5q + 20 = -5(q - 4)$
Factor by Grouping: Factor by grouping. $\newline$ Now that we have a common binomial factor $(q - 4)$ , we can factor by grouping. $\newline$ The polynomial can be written as: $\newline$ $3q^2(q - 4) - 5(q - 4)$ $\newline$ Factor out the common binomial factor $(q - 4)$ : $\newline$ $(q - 4)(3q^2 - 5)$