Find roots of polynomial $$ p(x) = 12x^4-14x^3-3x^2-5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.6602\\[1 em]x_2 &= 1.4685\\[1 em]x_3 &= 0.1792+0.6306i\\[1 em]x_4 &= 0.1792-0.6306i \end{aligned} $$Explanation
Polynomial $ 12x^4-14x^3-3x^2-5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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