Find roots of polynomial $$ p(x) = 13x^4+15x^3+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4867\\[1 em]x_2 &= -1.0953\\[1 em]x_3 &= 0.2141+0.3138i\\[1 em]x_4 &= 0.2141-0.3138i \end{aligned} $$Explanation
Polynomial $ 13x^4+15x^3+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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