Find roots of polynomial $$ p(x) = x^4-2x^3-56x^3+12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.5935\\[1 em]x_2 &= 57.9999\\[1 em]x_3 &= -0.2967+0.5105i\\[1 em]x_4 &= -0.2967-0.5105i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^4 \color{blue}{-2x^3} \color{blue}{-56x^3} +12 = x^4 \color{blue}{-58x^3} +12 $$Step 2:
Polynomial $ x^4-58x^3+12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
This page was created using
Polynomial Roots Calculator