Find roots of polynomial $$ p(x) = 2x^4-3x^3+2x^2-5x+6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.2449+0.4591i\\[1 em]x_2 &= 1.2449-0.4591i\\[1 em]x_3 &= -0.4949+1.2079i\\[1 em]x_4 &= -0.4949-1.2079i \end{aligned} $$Explanation
Polynomial $ 2x^4-3x^3+2x^2-5x+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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