Question

rewrite each linear expression by factoring out the greatest common factor. -45x+72

Answer 1

Step 1:

Find the greatest common factor of -45x and +72.

3 | -45x | +72

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3 | -15x | +24

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| -5x | +8

Therefore, the greatest common factor of -45x and +72 is 3 x 3 = 9

Step 2:

Factor out the greatest common factor

$\begin{gathered} -45x+72=9(\frac{-45x}{9}+\frac{72}{9}) \\ \text{this implies that} \\ -45x+72=9(-5x+8) \end{gathered}$

Therefore the correct answer 9(-5x + 8)