Find roots of polynomial $$ p(x) = 4x^5+3x^3+3x^2+2x-9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.9079\\[1 em]x_2 &= -0.9027+0.716i\\[1 em]x_3 &= -0.9027-0.716i\\[1 em]x_4 &= 0.4487+1.2906i\\[1 em]x_5 &= 0.4487-1.2906i \end{aligned} $$Explanation
Polynomial $ 4x^5+3x^3+3x^2+2x-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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