Find the Common Factor in 5x² + 25x: Polynomial Factoring Practice

We factored the expression $5x^2 + 25x$ into its basic terms:

$5 \cdot x \cdot x + 25 \cdot x$

Take out the common factor from the factored expression

To factor the expression $5x^2 + 25x$, we look for the greatest common factor (GCF) of the terms $5x^2$ and $25x$. The GCF is $5x$. We factor out $5x$ from each term:

$5x^2+25x=\blue5\cdot \orange x\cdot x+\blue 5\cdot5\cdot \orange x$.

This results in the expression $5x(x + 5)$.