Find roots of polynomial $$ p(x) = 20x^3+32x^2+13x+1+20 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.6031\\[1 em]x_2 &= 0.0016+0.8093i\\[1 em]x_3 &= 0.0016-0.8093i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ 20x^3+32x^2+13x+ \color{blue}{1} + \color{blue}{20} = 20x^3+32x^2+13x+ \color{blue}{21} $$Step 2:
Polynomial $ 20x^3+32x^2+13x+21 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
This page was created using
Polynomial Roots Calculator