Question

Simplify and state the domain for the expression:

Answer 1

\[\frac{ 5x^3+15x^2+10x }{ 3x^3- 3x }\]

Answer 2

Domain will be all real numbers except those that make the denominator 0, so solve

3x^3-3x=0

Answer 3

How would you solve that? It'd end up being 6x = 0 correct? You can't divide 6 by 0

Answer 4

Or would it just be 6 because that'd be 6 over 0

Answer 5

You would factor it

3x(x^2-1)

so 3x=0 and x^2-1=0

Answer 6

Alright thanks I got it.