Find roots of polynomial $$ p(x) = 87+98x+9x^2+96x^3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.6535\\[1 em]x_2 &= 0.2799+1.1438i\\[1 em]x_3 &= 0.2799-1.1438i \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} 87+98x+9x^2+96x^3 & = 0\\[1 em] 96x^3+9x^2+98x+87 & = 0 \end{aligned} $$Step 2:
Polynomial $ 96x^3+9x^2+98x+87 $ 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