Question

I'm trying to find the critical points of the function x^3+x^2-x, I've gotten the derivative but I'm having trouble factoring. Any help?

Answer 1

your job is to find the zeros of
\[y'=3x^2+2x-1\] if it does not factor over the integers, use the quadratic formula to solve
\[3x^2+2x-1=0\]

Answer 2

That's what I was afraid of, thanks

Answer 3

(x+1)(3x-1)

Answer 4

yeah that too!

Answer 5

I differentiated wrong. I feel dumb.