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What are all the potential rational roots of f(x)=15x^11 -6x^8 +x^3-4x+3

User Cade
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The theorem of rational solutions states that, given a polynomial with integer coefficients, every potenial rational solution is written as
(p)/(q), where
p divides the constant term, and
q divides the leading term.


So, our choices for
p are
\pm 1, \pm 3, while our choices for
q are
\pm 1, \pm 3, \pm 5, \pm 15.


Combine all possible numerator and denominator to get all the potenial rational solutions:



\pm(1)/(1),\pm(1)/(3),\pm(1)/(5),\pm(1)/(15)



\pm(3)/(1),\pm(3)/(3),\pm(3)/(5),\pm(3)/(15)

User Victor Lam
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