Equation of the form P(x) = 0 where P represents a polynomial.
The solutions of an algebraic equation of degree greater than 1 are called its roots; they are the zeros of the polynomial to which they correspond.
Examples
- The equation 4x² – 7x + 12 = 0 is a second-degree algebraic equation, since 4x² – 7x + 12 is a polynomial in one variable.
- The equation 7x + 2y – 12 = 0 is a first-degree algebraic equation in two variables, since 7x + 2y – 12 is a first-degree polynomial in two variables.
- The equation 4x²y + xy – 5x = 0 is a third-degree algebraic equation.
- The equation 4\({x^3}\)+\({x^2}\) – 5x = 0 is a third-degree algebraic equation.