Q. 140E - Intermediate Algebra

Question

In the following exercises, factor each expression using any method. $12x^2+ 36y-24z$

Step-by-Step Solution

Answer

The factors are $12\left(x^2+3y-2z\right)$

Step 1. Given Information

The trinomial is $12x^2+36y-24z$.

Find factors.

Step 2. Factor the trinomial

In trinomial $12x^2+36y-24z$all variables are different.

So, find GCF .

$GCF=12$

Factor it

$12\left(x^2+3y-2z\right)$

Step 3. Check

Multiply the factors

 $$\begin{gathered} 12\left(x^2+3y-2z\right) \\ 12x^2+36y-24z \end{gathered}$$