(x^2 + x-6) / (x-2) =
A) x-3
B) x+2
C) x+3
D) x-2
E) 2x + 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.