Find roots of polynomial $$ p(x) = 3x^4-2x^3-12x^2-12x+12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.6167\\[1 em]x_2 &= 2.5828\\[1 em]x_3 &= -1.2664+0.9525i\\[1 em]x_4 &= -1.2664-0.9525i \end{aligned} $$Explanation
Polynomial $ 3x^4-2x^3-12x^2-12x+12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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