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

Question

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

Step-by-Step Solution

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 $4x(x + 4)$ .

Answer

$4x(x + 4)$

Related Subjects

Factorization: Common factor extraction Algebraic Method

Question Types

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