Find roots of polynomial $$ p(x) = -4x^4-35x^3+71x^2-4x-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.3581\\[1 em]x_2 &= -0.2507\\[1 em]x_3 &= 1.5981\\[1 em]x_4 &= -10.4555 \end{aligned} $$Explanation
Polynomial $ -4x^4-35x^3+71x^2-4x-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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