Answer:
[tex]\frac{x + 2}{2[2x - 3]}[/tex]
Step-by-step explanation:
Think about what you do when you are trying to factor trinomials with a leading coefficient greater than 1 [Slide & Divide (also known as the slowest way to factor trinomials with a leading coefficient greater than 1)]. Step 4 is called bottoms-up, meaning that you take the denominator of [tex]x[/tex] and bring it to the outside number farthest to the left. Doing this will give you this so far:
[tex]\frac{x + 2}{4x - 6}[/tex]
Now, if you have not noticed, [tex]4x - 6[/tex] can be simplified further because the Greatest Common Factor [GCF] is 2, so factoring this out will give you your final answer of this:
[tex]\frac{x + 2}{2[2x - 3]}[/tex]
I am delighted to assist you anytime.
