Find roots of polynomial $$ p(x) = x^3+2x-x+15 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.3312\\[1 em]x_2 &= 1.1656+2.253i\\[1 em]x_3 &= 1.1656-2.253i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^3+ \color{blue}{2x} \color{blue}{-x} +15 = x^3+ \color{blue}{x} +15 $$Step 2:
Polynomial $ x^3+x+15 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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