Question

Factor each polynomial 9x-6 a.9(x-6) b.3(3x-2) c.6(3x-1) d.3x

Answer 1

$9x-6=3(3x-2)\implies\text{B}$

Answer 2

The correct answer is b) 3(3x - 2)

In order to factor this, you have to find the greatest common factor of 9x and 6. Since 6 does not have an x in it, we cannot pull out an x. Instead we have to look for the biggest whole number that goes into 9 and 6, which is 3.

Next, to take the 3 out, we need to divide each term by 3.

9x/3 = 3x

-6/3 = -2

So the 3 comes out and the results above go together in the parenthesis.

3(3x - 2)