Find roots of polynomial $$ p(x) = -4x^3+9x^2-9x-8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5348\\[1 em]x_2 &= 1.3924+1.3419i\\[1 em]x_3 &= 1.3924-1.3419i \end{aligned} $$Explanation
Polynomial $ -4x^3+9x^2-9x-8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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