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

Question

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

Step-by-Step Solution

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 $5x(x + 5)$ .

Answer

$5x(x + 5)$

Related Subjects

Factorization: Common factor extraction Algebraic Method

Question Types

Factorization - Common Factor: Extracting a Common Factor from a group of numbers following decomposition