Find roots of polynomial $$ p(x) = x^3+4x^3-3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8434\\[1 em]x_2 &= -0.4217+0.7304i\\[1 em]x_3 &= -0.4217-0.7304i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{x^3} + \color{blue}{4x^3} -3 = \color{blue}{5x^3} -3 $$Step 2:
Polynomial $ 5x^3-3 $ 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