Question

How to divide (x^2+5x-6)/(x-1)

Answer 1

x+6

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:

`((x+6)(x-1))/((x-1))=\frac{(x+6)\xout{(x-1)}}{\xout{(x-1)}}`

`x+6`