Find roots of polynomial $$ p(x) = 3x^3-9x+2x-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.8481\\[1 em]x_2 &= -0.9241+0.4778i\\[1 em]x_3 &= -0.9241-0.4778i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ 3x^3 \color{blue}{-9x} + \color{blue}{2x} -6 = 3x^3 \color{blue}{-7x} -6 $$Step 2:
Polynomial $ 3x^3-7x-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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