Q. 143E - Intermediate Algebra

Question

In the following exercises, factor each expression using any method $13z^2+39z-26$

Step-by-Step Solution

Answer

The factors are $13\left(z^2+3z-2\right)$

Step 1. Given Information

The trinomial is $13z^2+39z-26$

Find factors.

Step 2. Find GCF

Find GCF from trinomial $13z^2+39z-26$

$GCF=13$

so, trinomial is $13\left(z^2+3z-2\right)$

Step 3. Factor the trinomial inside the parenthesis

The trinomial inside the parenthesis can not factor.  So, factors are$13\left(z^2+3z-2\right)$.

Step 4. Check

Multiply the factor

 $$\begin{gathered} 13\left(z^2+3z-2\right) \\ 13z^2+39z-26 \end{gathered}$$