Find roots of polynomial $$ p(x) = 4x^3+11x^2-11x+13 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -3.7231\\[1 em]x_2 &= 0.4866+0.7976i\\[1 em]x_3 &= 0.4866-0.7976i \end{aligned} $$Explanation
Polynomial $ 4x^3+11x^2-11x+13 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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