Find roots of polynomial $$ p(x) = 4x^4+10x^3+10x^2+10x+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.0449+1.0112i\\[1 em]x_2 &= 0.0449-1.0112i\\[1 em]x_3 &= -1.2949+0.1768i\\[1 em]x_4 &= -1.2949-0.1768i \end{aligned} $$Explanation
Polynomial $ 4x^4+10x^3+10x^2+10x+7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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