Q11. - Algebra 1

Question

Factor each polynomial.

$2x^2-4x$

Step-by-Step Solution

Answer

A factor of given polynomial is $2x\left(x-2\right)$.

Step 1. Find GCF.

Find GCF of $2x^2$ and $4x$.

$\begin{array}{c}2x^2=2\cdot x\cdot x\\ 4x=2\cdot 2\cdot x\end{array}$

 

Therefore, GCF is $2x$.

Step 2. Rewrite.

Rewrite each term using GCF.

 

$2x^2-4x=2x\left(x\right)-2x\left(2\right)$

Step 3. Apply distributive property.

Apply distributive property, $a\left(b-c\right)=ab-ac$.

 

$2x\left(x-2\right)$

 

Therefore, factor of given polynomial is $2x\left(x-2\right)$.