Question

factor the expression 35q + 10r - 15. use the gcf as the common factor. 35q + 10r - 15 = ( ? q + ? r - ? )

Explanation:

Step1: Find the GCF of coefficients

Find GCF of 35, 10 and 15. Prime - factorize: $35 = 5\times7$, $10 = 2\times5$, $15 = 3\times5$. GCF is 5.

Step2: Factor out the GCF

Divide each term by 5. $\frac{35q}{5}=7q$, $\frac{10r}{5} = 2r$, $\frac{-15}{5}=-3$.

Answer:

$5(7q + 2r-3)$