Find roots of polynomial $$ p(x) = 7x^5+5x^2+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.0364\\[1 em]x_2 &= 0.6277+0.6957i\\[1 em]x_3 &= 0.6277-0.6957i\\[1 em]x_4 &= -0.1095+0.6775i\\[1 em]x_5 &= -0.1095-0.6775i \end{aligned} $$Explanation
Polynomial $ 7x^5+5x^2+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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