Find roots of polynomial $$ p(x) = x^4-10x^3-12x^2+234x-456 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -5.0559\\[1 em]x_2 &= 9.0973\\[1 em]x_3 &= 2.9793+1.0188i\\[1 em]x_4 &= 2.9793-1.0188i \end{aligned} $$Explanation
Polynomial $ x^4-10x^3-12x^2+234x-456 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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