Factors of polynomial with fractional powers

[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?

 

[Fermat]

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

 

[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.

 

[Tide]

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

 

[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.