Find roots of polynomial $$ p(x) = 5x^4+7x^3-9x^2-6x-8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3261\\[1 em]x_2 &= -2.1417\\[1 em]x_3 &= -0.2922+0.6914i\\[1 em]x_4 &= -0.2922-0.6914i \end{aligned} $$Explanation
Polynomial $ 5x^4+7x^3-9x^2-6x-8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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