Find roots of polynomial $$ p(x) = 12x^{12}-12x^5-8x^3+7x-3 $$

The roots of polynomial $ p(x) $ are:

$$ \begin{aligned}x_1 &= -0.7943\\[1 em]x_2 &= 1.0408\\[1 em]x_3 &= 0.4695+0.1897i\\[1 em]x_4 &= 0.4695-0.1897i\\[1 em]x_5 &= -0.3994+0.9394i\\[1 em]x_6 &= -0.3994-0.9394i\\[1 em]x_7 &= 0.6996+0.7835i\\[1 em]x_8 &= 0.6996-0.7835i\\[1 em]x_9 &= 0.0655+0.9455i\\[1 em]x_{10} &= 0.0655-0.9455i\\[1 em]x_{11} &= -0.9585+0.4727i\\[1 em]x_{12} &= -0.9585-0.4727i \end{aligned} $$

Polynomial $ 12x^{12}-12x^5-8x^3+7x-3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.

Polynomial Roots Calculator