Question

factor $6m + 4m^2$.

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of \(6m\) and \(4m^{2}\). The GCF of 6 and 4 is 2, and the GCF of \(m\) and \(m^{2}\) is \(m\). So the GCF is \(2m\).

Step2: Divide each term by GCF

Divide \(6m\) by \(2m\) to get 3, and divide \(4m^{2}\) by \(2m\) to get \(2m\).

Step3: Write the factored form

Using the distributive property in reverse, \(6m + 4m^{2}=2m(3 + 2m)\).

Answer:

\(2m(3 + 2m)\)