Find roots of polynomial $$ p(x) = 3x^4+6x^3+9x^2+12x+15 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2878+1.4161i\\[1 em]x_2 &= 0.2878-1.4161i\\[1 em]x_3 &= -1.2878+0.8579i\\[1 em]x_4 &= -1.2878-0.8579i \end{aligned} $$Explanation
Polynomial $ 3x^4+6x^3+9x^2+12x+15 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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