(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the polynomial [tex]x^5+22x^3-34x^2+117x-306[/tex] given that the roots on the real and imaginary plane are all integers, factorize the polynomial into real linear and quadratic factors.

3. The attempt at a solution

I was able to find the real factor, which is x=2 and then I reduced the polynomial to this:

[tex](x-2)(x^4+2x^3+26x^2+18x+153)[/tex]

But this quartic has all complex roots, and I'm unsure how to find them given the information above. Please help!

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# Homework Help: Polynomial factor help

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