Factors of polynomial with fractional powers

Hi,
I've got this particular polynomial [tex]a^{3/2}+x^{3/2}[/tex] 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:

Fermat

Homework Helper
874
1
(x + a) isn't a factor, but (√x + √a) is.
 
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

Science Advisor
Homework Helper
3,078
0
Set [itex]x = y^2[/itex] and [itex]b = a^2[/itex] then see if anything comes to mind! :)
 
Yeah, that's what I figured out.
Haven't done any mathematics for a long time. Need to get the gray cells into action.
 

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