Find roots of polynomial $$ p(x) = -x^4-9x^3-24x^2-16 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.1138+0.7844i\\[1 em]x_2 &= 0.1138-0.7844i\\[1 em]x_3 &= -4.6138+2.0457i\\[1 em]x_4 &= -4.6138-2.0457i \end{aligned} $$Explanation
Polynomial $ -x^4-9x^3-24x^2-16 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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