Find roots of polynomial $$ p(x) = 2x^4-3x^3+4x^2+3x+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.3431+0.4429i\\[1 em]x_2 &= -0.3431-0.4429i\\[1 em]x_3 &= 1.0931+1.4112i\\[1 em]x_4 &= 1.0931-1.4112i \end{aligned} $$Explanation
Polynomial $ 2x^4-3x^3+4x^2+3x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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