Find roots of polynomial $$ p(x) = 5x^4+7x^3+9x^2-3x+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.1951+0.3659i\\[1 em]x_2 &= 0.1951-0.3659i\\[1 em]x_3 &= -0.8951+1.2351i\\[1 em]x_4 &= -0.8951-1.2351i \end{aligned} $$Explanation
Polynomial $ 5x^4+7x^3+9x^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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