Find roots of polynomial $$ p(x) = 3x^4-13x^3+11x^2-16x+110 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.8333+1.724i\\[1 em]x_2 &= -0.8333-1.724i\\[1 em]x_3 &= 3+i\\[1 em]x_4 &= 3-i \end{aligned} $$Explanation
Polynomial $ 3x^4-13x^3+11x^2-16x+110 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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