Question

Solve for the inequality. x^3-3x^2<0

Answer 1

First, you need to factor the left side.

Answer 2

x<3

Answer 3

@mathpanda123 Not so fast. Try x = 0

Answer 4

I did. Right now I'm at \[x^2(x-3)<0\] I want to set \[x^2\] and (x-3) equal to zero and solve it that way

Answer 5

x<0
0<x<3

Answer 6

Does that work?

Answer 7

Set the factored polynomial equal to zero, and find the zeroes. Those are points of interest.

Answer 8

x^2(x - 3) = 0
x = 0, x = 0, x = 3
There are two different points of interest.
x = 0 and x = 3