Find roots of polynomial $$ p(x) = 9x^4-87x^3+240x^2-170x+120 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 4.1425\\[1 em]x_2 &= 4.8846\\[1 em]x_3 &= 0.3198+0.7461i\\[1 em]x_4 &= 0.3198-0.7461i \end{aligned} $$Explanation
Polynomial $ 9x^4-87x^3+240x^2-170x+120 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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