X+3 divided by X2 + X-6

=1 / (x-2)

Step-by-step explanation:

X+3 divided by X2 + X-6

= [x + 3] / [ x^2 + x - 6]

factor the denominator

We can use the X-method of factoring the trinomial.

so.

x^2 + x - 6 = (x + 3) (x - 2) since 3*-2 = - 6 and 3 - 2 = 1

so

= [x + 3] / [ x^2 + x - 6]

= (x + 3) / (x + 3) (x - 2)

= 1 / (x-2)