Question

factor 4c + 10c^2.

Explanation:

Step1: Find the GCF of terms

Find the greatest - common factor of \(4c\) and \(10c^{2}\). The GCF of 4 and 10 is 2, and the GCF of \(c\) and \(c^{2}\) is \(c\). So the GCF of \(4c\) and \(10c^{2}\) is \(2c\).

Step2: Factor out the GCF

Divide each term by \(2c\): \(\frac{4c}{2c}=2\) and \(\frac{10c^{2}}{2c} = 5c\). Then \(4c + 10c^{2}=2c(2 + 5c)\).

Answer:

\(2c(2 + 5c)\)