Factors of polynomial with fractional powers

1. Oct 13, 2005

hustler

Hi,
I've got this particular polynomial $$a^{3/2}+x^{3/2}$$ and I need to factorize it as far as possible.
I've come to the conclusion that there are no factors.
Am I wrong?

Last edited: Oct 13, 2005
2. Oct 13, 2005

Fermat

(x + a) isn't a factor, but (√x + √a) is.

3. Oct 13, 2005

hustler

Ok, that seems straightforward, but how do I go about doing polynomial division using fractional powers to find the polynomial remainder?
Actually, nevermind. I just figured it out. Thanks for the help.

4. Oct 14, 2005

Tide

Set $x = y^2$ and $b = a^2$ then see if anything comes to mind! :)

5. Oct 14, 2005

hustler

Yeah, that's what I figured out.
Haven't done any mathematics for a long time. Need to get the gray cells into action.