1) Find the Greatest Common Factor (GCF)How?
GCF=2GCF=2
2) Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2(\frac{6{r}^{2}}{2}+\frac{-14r}{2}-\frac{12}{2})2(26r2+2−14r−212)
3) Simplify each term in parentheses
2(3{r}^{2}-7r-6)2(3r2−7r−6)
4) Split the second term in 3{r}^{2}-7r-63r2−7r−6 into two termsHow?
2(3{r}^{2}+2r-9r-6)2(3r2+2r−9r−6)
5) Factor out common terms in the first two terms, then in the last two terms
2(r(3r+2)-3(3r+2))2(r(3r+2)−3(3r+2))
6) Factor out the common term 3r+23r+2
2(3r+2)(r-3)2(3r+2)(r−3)
