Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. $10r^2 + 15r$

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 10 and 15, GCF is 5. For variables \(r^2\) and \(r\), GCF is \(r\). So overall GCF is \(5r\).

Step2: Divide each term by GCF

Divide \(10r^2\) by \(5r\): \(\frac{10r^2}{5r} = 2r\). Divide \(15r\) by \(5r\): \(\frac{15r}{5r}=3\).

Step3: Factor out GCF

\(10r^2 + 15r = 5r(2r + 3)\)

Answer:

\(5r(2r + 3)\)