Find roots of polynomial $$ p(x) = x^4+14x^3+54x^2-65x-25 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.3107\\[1 em]x_2 &= 1.1922\\[1 em]x_3 &= -7.4407+3.4819i\\[1 em]x_4 &= -7.4407-3.4819i \end{aligned} $$Explanation
Polynomial $ x^4+14x^3+54x^2-65x-25 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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