Question
$$\frac{x^3+2x^2-x-2}{x}+1 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{x^3+2x^2-x-2}{x}+1 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{x^3+2x^2-x-2}{x}+x\cdot1 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]x^3+2x^2-x-2+x &= 0&& \text{simplify left side} \\[1 em]x^3+2x^2-x-2+x &= 0&& \\[1 em]x^3+2x^2-2 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver