SOLUTION: i dont understand how to factor equations when the exponent is a fraction. help please! {{{3x^(3/2)-9x^(1/2)+6x^(-1/2)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i dont understand how to factor equations when the exponent is a fraction. help please! {{{3x^(3/2)-9x^(1/2)+6x^(-1/2)}}}      Log On


   

Question 152275: i dont understand how to factor equations when the exponent is a fraction. help please!
3x%5E%283%2F2%29-9x%5E%281%2F2%29%2B6x%5E%28-1%2F2%29
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E%283%2F2%29-9x%5E%281%2F2%29%2B6x%5E%28-1%2F2%29
.
Begin by factoring out common factor among all three terms:
+%283%29%28x%5E%283%2F2%29-3x%5E%281%2F2%29%2B2x%5E%28-1%2F2%29%29+
+%283x%5E%28-1%2F2%29%29%28x%5E2-3x%2B2%29+
.
Finally, factor the remaining expression:
+%283x%5E%28-1%2F2%29%29%28x-1%29%28x-2%29+