Find roots of polynomial $$ p(x) = 2x^5-103x^3-38x^2+1020x-450 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4587\\[1 em]x_2 &= -4.6606\\[1 em]x_3 &= 2.9769\\[1 em]x_4 &= -5.3649\\[1 em]x_5 &= 6.5898 \end{aligned} $$Explanation
Polynomial $ 2x^5-103x^3-38x^2+1020x-450 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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