Find roots of polynomial $$ p(x) = x^4-7x^3+7x^2+31x+35 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9746+0.7599i\\[1 em]x_2 &= -0.9746-0.7599i\\[1 em]x_3 &= 4.4746+1.7013i\\[1 em]x_4 &= 4.4746-1.7013i \end{aligned} $$Explanation
Polynomial $ x^4-7x^3+7x^2+31x+35 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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