Question

I need help factor this algebraic expression1. Find the GCF!2. Write your GCF 3. Rewrite expression factor out the GCF!4. Write your final factored expression!NUMBER 17

Answer 1

Starting with the expression:

$15x-30x$

First, notice that both terms have a common factor of x. Therefore, rewrite the expression as:

$15x-30x=x(15-30)$

Next, notice that 30=15*2. Therefore, both 15 and 30 have a common factor of 15. Rewrite the expression again factoring out 15:

$\begin{gathered} x(15-30)=x\lbrack15(1-2)\rbrack \\ =15x(1-2) \end{gathered}$

Since the greatest factor of 1 is 1, then the expression has no further common factors.

Therefore, the greatest common factor is 15x.

$\frac{15x}{15x}-\frac{30x}{15x}=1-2$

The final factored expression would be:

$15x(1-2)$