Find roots of polynomial $$ p(x) = x^4+2x^3+5x^2+4x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5+0.866i\\[1 em]x_2 &= -0.5-0.866i\\[1 em]x_3 &= -0.5+1.6583i\\[1 em]x_4 &= -0.5-1.6583i \end{aligned} $$Explanation
Polynomial $ x^4+2x^3+5x^2+4x+3 $ 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