Simplify and state the domain for the expression.

Question

(x^2 + 10x + 24) / (x^3 - x^2 - 20x)

Answer 1

[ (x+4)(x+6) ] / [ x(x-5)(x+4) ]
= (x+6) / [ x(x-5) ]
blows up if x = 0 or if x = 5

Answer 2

and has a hole if x = -4

Answer 3

thank you !!