Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152275: i dont understand how to factor equations when the exponent is a fraction. help please!
3x^(3/2)-9x^(1/2)+6x^(-1/2): i dont understand how to factor equations when the exponent is a fraction. help please!
3x^(3/2)-9x^(1/2)+6x^(-1/2)
Answer by nerdybill(1123) About Me  (Show Source):
You can put this solution on YOUR website!
3x^(3/2)-9x^(1/2)+6x^(-1/2)
.
Begin by factoring out common factor among all three terms:
(3)(x^(3/2)-3x^(1/2)+2x^(-1/2))
(3x^(-1/2))(x^2-3x+2)
.
Finally, factor the remaining expression:
(3x^(-1/2))(x-1)(x-2)