Find roots of polynomial $$ p(x) = 2x^4+2x^3-11x^2-24x-9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4901\\[1 em]x_2 &= 2.7672\\[1 em]x_3 &= -1.6385+0.7959i\\[1 em]x_4 &= -1.6385-0.7959i \end{aligned} $$Explanation
Polynomial $ 2x^4+2x^3-11x^2-24x-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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