Find roots of polynomial $$ p(x) = x^4-2x^3+15x^2-22x+10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.7968+0.3153i\\[1 em]x_2 &= 0.7968-0.3153i\\[1 em]x_3 &= 0.2032+3.6847i\\[1 em]x_4 &= 0.2032-3.6847i \end{aligned} $$Explanation
Polynomial $ x^4-2x^3+15x^2-22x+10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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