Find roots of polynomial $$ p(x) = 3x^3-16x^2+81x-126 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.0752\\[1 em]x_2 &= 1.6291+4.1934i\\[1 em]x_3 &= 1.6291-4.1934i \end{aligned} $$Explanation
Polynomial $ 3x^3-16x^2+81x-126 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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