Use this tag for questions related to solving equations involving polynomials.
An algebraic equation is an equation of the form $P = 0$ where $P$ is a polynomial with coefficients in some field, often the field of rational numbers.
For most authors, an algebraic equation is univariate, which means that it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called multivariate and polynomial equation is usually preferred to algebraic equation. For example, $$x^5 - 3x + 1 = 0$$ is an algebraic equation with integer coefficients, and $$y^4 +\frac{xy}2 = \frac{x^3}3 - xy^2 + y^2 - \frac17$$ is a multivariate polynomial equation with rational coefficients.
