Answer:
=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)
