Find roots of polynomial $$ p(x) = 2x^3+6x-23x-12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.7569\\[1 em]x_2 &= -2.4624\\[1 em]x_3 &= 3.2193 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ 2x^3+ \color{blue}{6x} \color{blue}{-23x} -12 = 2x^3 \color{blue}{-17x} -12 $$Step 2:
Polynomial $ 2x^3-17x-12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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