Question

For Problems 7–8, factor the expressions using the GCF. 7. 3x - 24 8. 3x + 15

Answer 1

$3(x-8)$$3(x+5)$

Explanation

Step 1

7)

$\begin{gathered} 3x-24 \\ \end{gathered}$

get the factors of each number

$\begin{gathered} 3x=3\cdot x \\ 24=3\cdot2\cdot2\cdot2\cdot=3\cdot8 \end{gathered}$

so, the GCF is 3

$\begin{gathered} 3x-24=3(\frac{3x}{3}-\frac{24}{3}) \\ 3x-24=3(x-8) \end{gathered}$

Step 2

8)

$3x+15$

get the factors of each number

$\begin{gathered} 3x=3\cdot x \\ 15=3\cdot5 \end{gathered}$

so, the GCF is 3

$3x+15\rightarrow3(\frac{3x}{3}+\frac{15}{3})\rightarrow3(x+5)$

I hope this helps you