Question

factor out the gcf $25x^{4}+5x^{3}$.

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 25 and 5, GCF is 5. For variables \(x^4\) and \(x^3\), GCF is \(x^3\). So overall GCF is \(5x^3\).

Step2: Factor out GCF

Divide each term by \(5x^3\): \(\frac{25x^4}{5x^3}=5x\), \(\frac{5x^3}{5x^3}=1\). So \(25x^4 + 5x^3=5x^3(5x + 1)\).

Answer:

\(5x^3(5x + 1)\)