Find roots of polynomial $$ p(x) = x^3+6x^2+65x+72 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.2166\\[1 em]x_2 &= -2.3917+7.3117i\\[1 em]x_3 &= -2.3917-7.3117i \end{aligned} $$Explanation
Polynomial $ x^3+6x^2+65x+72 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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