# Math Help - Need help simplifying

1. ## Need help simplifying

I'm trying to solve the Limit of x->-3, so I need help simplifying (-x^2+x+12)/(x+3)

2. AFAIK, L'Hopital's rule can be applied here. That is: if $\lim_{x \to c}\frac{f(x)}{g(x)}=\left ( \frac{0}{0} \right )$ then $\lim_{x \to c}\frac{f(x)}{g(x)}=\lim_{x \to c}\frac{f'(x)}{g'(x)}$

3. Originally Posted by giselled
I'm trying to solve the Limit of x->-3, so I need help simplifying (-x^2+x+12)/(x+3)
$\frac{-x^2+x+12}{x+3} = \frac{(x+3)(-x+4)}{(x+3)} = -x+4$

4. Originally Posted by giselled
I'm trying to solve the Limit of x->-3, so I need help simplifying (-x^2+x+12)/(x+3)
Note that $-x^2 + x + 12 = -(x^2 - x - 12) = -(x + 3)(x - 4)$.