Find roots of polynomial $$ p(x) = 3x^4+12x^3+20x^2+16x+8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4227+0.8165i\\[1 em]x_2 &= -0.4227-0.8165i\\[1 em]x_3 &= -1.5774+0.8165i\\[1 em]x_4 &= -1.5774-0.8165i \end{aligned} $$Explanation
Polynomial $ 3x^4+12x^3+20x^2+16x+8 $ 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