Answer:
x+6
Step-by-step explanation:
Let's see if the numerator is factorable.
Since the coefficient of x^2 is 1 (a=1), all you have to do is find two numbers that multiply to be -6 (c) and add up to be 5 (b).
Those numbers are 6 and -1.
So the factored form of the numerator is (x+6)(x-1)
So when you divide (x+6)(x-1) by (x-1) you get (x+6) because (x-1)/(x-1)=1 for number x except x=1 (since that would lead to division by 0).
Anyways, this is what I'm saying:
[tex]\frac{(x+6)(x-1)}{(x-1)}=\frac{(x+6)\xout{(x-1)}}{\xout{(x-1)}}[/tex]
[tex]x+6[/tex]
