Question

factor out the gcf $5x^3 + 25x^2$ .

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients \(5\) and \(25\), GCF is \(5\). For variables \(x^3\) and \(x^2\), GCF is \(x^2\). So overall GCF is \(5x^2\).

Step2: Factor out GCF

Divide each term by \(5x^2\): \(\frac{5x^3}{5x^2}=x\), \(\frac{25x^2}{5x^2}=5\). So \(5x^3 + 25x^2=5x^2(x + 5)\).

Answer:

\(5x^2(x + 5)\)