Find roots of polynomial $$ p(x) = 16x^4+96x^3+176x^2+96x+16 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.382\\[1 em]x_2 &= -0.382\\[1 em]x_3 &= -2.618\\[1 em]x_4 &= -2.618 \end{aligned} $$Explanation
Polynomial $ 16x^4+96x^3+176x^2+96x+16 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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