A number, → real or → complex,
that is a → root of a
→ non-zero polynomial equation
whose → coefficients are all → rational.
For example, the root x of the polynomial
x2 - 2x + 1 = 0 is an algebraic number, because the
polynomial is non-zero and the coefficients are rational numbers.
The imaginary number i is algebraic, because it is the solution to
x2 + 1 = 0.
See also: → algebraic; → number.