Find roots of polynomial $$ p(x) = x^4-2x^3-18x^2-6x+45 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3943\\[1 em]x_2 &= 5.3049\\[1 em]x_3 &= -2.3496+0.7506i\\[1 em]x_4 &= -2.3496-0.7506i \end{aligned} $$Explanation
Polynomial $ x^4-2x^3-18x^2-6x+45 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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