Find roots of polynomial $$ p(x) = x^5+8x^4+2x^3+x^2+x+51 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -7.7711\\[1 em]x_2 &= 1.0551+1.0825i\\[1 em]x_3 &= 1.0551-1.0825i\\[1 em]x_4 &= -1.1696+1.2264i\\[1 em]x_5 &= -1.1696-1.2264i \end{aligned} $$Explanation
Polynomial $ x^5+8x^4+2x^3+x^2+x+51 $ 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