Find roots of polynomial $$ p(x) = 3x^4+6x^3-x^2+12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.6974+0.892i\\[1 em]x_2 &= 0.6974-0.892i\\[1 em]x_3 &= -1.6974+0.4887i\\[1 em]x_4 &= -1.6974-0.4887i \end{aligned} $$Explanation
Polynomial $ 3x^4+6x^3-x^2+12 $ 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