SOLUTION: I am having trouble with the following: Factor: P(x)= {{{x^5+13x^3}}} Find all its zeros. State the multiplicity of each zero. I factored it as {{{x^3}}}*{{{x^2+13}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am having trouble with the following: Factor: P(x)= {{{x^5+13x^3}}} Find all its zeros. State the multiplicity of each zero. I factored it as {{{x^3}}}*{{{x^2+13}}}      Log On


   

Question 976541: I am having trouble with the following:

Factor:
P(x)= x%5E5%2B13x%5E3
Find all its zeros. State the multiplicity of each zero.

I factored it as x%5E3*x%5E2%2B13 but was told that this was incorrect. How should I go about this?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
P(x)= x%5E5%2B13x%5E3
Find all its zeros. State the multiplicity of each zero.

I factored it as x%5E3*x%5E2%2B13 but was told that this was incorrect. How should I go about this?
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You factored it correctly, but you didn't mention the zeroes.
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They're 0, 0, 0, isqrt(13), -isqrt(13)