Find roots of polynomial $$ p(x) = 6x^5-7x^4+3x^3-9x^2+5x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.1541\\[1 em]x_2 &= 0.7781\\[1 em]x_3 &= 1.2311\\[1 em]x_4 &= -0.3442+1.0051i\\[1 em]x_5 &= -0.3442-1.0051i \end{aligned} $$Explanation
Polynomial $ 6x^5-7x^4+3x^3-9x^2+5x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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