(x^2 + x-6) / (x-2) =

Did you even try this? Factor the top, and that cancels out on the bottom, and leaves what...?

is it c

correct! Good work.

To simplify the expression (x^2 + x-6) / (x-2), you can either factor the numerator or use polynomial long division.

Let's first factorize the numerator, x^2 + x-6.

To do this, we need to find two numbers that multiply to -6 and add up to +1 (the coefficient of the x term). The numbers that satisfy this are +3 and -2.

So, we can rewrite x^2 + x-6 as (x+3)(x-2).

Now, our expression becomes (x+3)(x-2) / (x-2).

Now, we can cancel out the common factor of (x-2) in the numerator and denominator.

Canceling out (x-2), we are left with the simplified expression x+3.

Therefore, the answer is C) x+3.