Find roots of polynomial $$ p(x) = x^4+2x^3+x^2-4x-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.4142\\[1 em]x_2 &= -1.4142\\[1 em]x_3 &= -1+1.4142i\\[1 em]x_4 &= -1-1.4142i \end{aligned} $$Explanation
Polynomial $ x^4+2x^3+x^2-4x-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
This page was created using
Polynomial Roots Calculator