Finding Common Factors in 4x² + 16x: Step-by-Step Solution

We factored the expression

$4x^2 + 16x$

into its basic terms:

$4 \cdot x \cdot x + 16 \cdot x$

Take out the common factor from the factored expression

To factor the expression $4x^2 + 16x$, we start by identifying the greatest common factor (GCF) of $4x^2$ and $16x$. The GCF is $4x$. We factor out $4x$ from each term:

$4x^2+16x=\blue4\cdot \orange x\cdot x+\blue4\cdot4\cdot \orange x$.

This simplifies the expression to $4x(x + 4)$.