Find roots of polynomial $$ p(x) = 3x^5+2x^4-7x^2+17x+9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4482\\[1 em]x_2 &= -1.2196+1.3372i\\[1 em]x_3 &= -1.2196-1.3372i\\[1 em]x_4 &= 1.1104+0.9003i\\[1 em]x_5 &= 1.1104-0.9003i \end{aligned} $$Explanation
Polynomial $ 3x^5+2x^4-7x^2+17x+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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