SOLUTION: X^3-3x^2+2x>0 use interval notation to list the values of x to satisfy the inequality

Algebra ->  Inequalities -> SOLUTION: X^3-3x^2+2x>0 use interval notation to list the values of x to satisfy the inequality       Log On


   

Question 831424: X^3-3x^2+2x>0 use interval notation to list the values of x to satisfy the inequality
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-3x%5E2%2B2x=x%28x%5E2-3x%2B2%29
x%5E3-3x%5E2%2B2x=x%28x-2%29%28x-1%29
The function crosses the x-axis at x=0,1,2.
.
.
.
+graph%28+300%2C+200%2C+-1%2C+3%2C+-2%2C+2%2C+x%5E3-3x%5E2%2B2x%29+
.
.
.
The function is greater than zero between (0,1) and when x%3E2
(0,1)U(2,infinity)