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 4
*x*² – 7*x*+ 12 = 0 is a second-degree algebraic equation, since 4*x*² – 7*x*+ 12 is a polynomial in one variable. - The equation 7
*x*+ 2*y*– 12 = 0 is a first-degree algebraic equation in two variables, since 7*x*+ 2*y*– 12 is a first-degree polynomial in two variables. - The equation 4
*x*²*y*+*xy*– 5*x*= 0 is a third-degree algebraic equation. - The equation 4\({x^3}\)+\({x^2}\) – 5
*x*= 0 is a third-degree algebraic equation.