Find roots of polynomial $$ p(x) = 20x^3+32x^2+13x+1+16 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5369\\[1 em]x_2 &= -0.0315+0.743i\\[1 em]x_3 &= -0.0315-0.743i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ 20x^3+32x^2+13x+ \color{blue}{1} + \color{blue}{16} = 20x^3+32x^2+13x+ \color{blue}{17} $$Step 2:
Polynomial $ 20x^3+32x^2+13x+17 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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