Question

X+3 divided by X2 + X-6

Answer 1

=1/(x-2)

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)