Find roots of polynomial $$ p(x) = 2x^6-4x^5-7x^4-16x^3+28x^2+24x+12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.6174\\[1 em]x_2 &= 3.2914\\[1 em]x_3 &= -0.3675+0.4283i\\[1 em]x_4 &= -0.3675-0.4283i\\[1 em]x_5 &= -1.0869+1.5355i\\[1 em]x_6 &= -1.0869-1.5355i \end{aligned} $$Explanation
Polynomial $ 2x^6-4x^5-7x^4-16x^3+28x^2+24x+12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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