Hi, I'm not sure how to evaluate the following limits.

1. lim (x^3+x^2-8x-12)/(x+2)

x->-2

so I know that I have to use the factor theorem for the numerator, and I noticed that 3 is a factor of the numerator. so I'm not sure how to evalute this limit or proceed to the next step with this in mind (using the factor theorem).

2. lim(27-x)/(x^(1/3)-3)

x->27

for this one, i am not sure if i have to change the variables and if so, what i have to change it to??

Please explain the steps needed. Thank you in advance