Find roots of polynomial $$ p(x) = 3x^4+34x^3+133x^2+204x+72 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4915\\[1 em]x_2 &= -4.973\\[1 em]x_3 &= -2.9344+1.0991i\\[1 em]x_4 &= -2.9344-1.0991i \end{aligned} $$Explanation
Polynomial $ 3x^4+34x^3+133x^2+204x+72 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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