Find roots of polynomial $$ p(x) = x^4-3x^3-44x^2+72x-32 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -6.1661\\[1 em]x_2 &= 7.6108\\[1 em]x_3 &= 0.7776+0.2779i\\[1 em]x_4 &= 0.7776-0.2779i \end{aligned} $$Explanation
Polynomial $ x^4-3x^3-44x^2+72x-32 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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