Find roots of polynomial $$ p(x) = 2x^5+3x^4-30x^3-20x^2+88x-33 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4505\\[1 em]x_2 &= 1.2605\\[1 em]x_3 &= -2.426\\[1 em]x_4 &= 3.0907\\[1 em]x_5 &= -3.8756 \end{aligned} $$Explanation
Polynomial $ 2x^5+3x^4-30x^3-20x^2+88x-33 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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