Find roots of polynomial $$ p(x) = x^4-x^3-10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5724\\[1 em]x_2 &= 2.0921\\[1 em]x_3 &= 0.2401+1.7269i\\[1 em]x_4 &= 0.2401-1.7269i \end{aligned} $$Explanation
Polynomial $ x^4-x^3-10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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