Find roots of polynomial $$ p(x) = 12x^5-295x^4+2656x^3-11256x^2+22126x-15374 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.481\\[1 em]x_2 &= 3.644\\[1 em]x_3 &= 10.6211\\[1 em]x_4 &= 4.4186+1.6816i\\[1 em]x_5 &= 4.4186-1.6816i \end{aligned} $$Explanation
Polynomial $ 12x^5-295x^4+2656x^3-11256x^2+22126x-15374 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
This page was created using
Polynomial Roots Calculator