Question
$$\frac{x^4+2x^3+x^2-x+2}{x^2+x-2} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{x^4+2x^3+x^2-x+2}{x^2+x-2} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^2+x-2 }. \\[1 em](x^2+x-2)\frac{x^4+2x^3+x^2-x+2}{x^2+x-2} &= (x^2+x-2)\cdot0&& \text{cancel out the denominators} \\[1 em]x^4+2x^3+x^2-x+2 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
This page was created using
Polynomial Equations Solver