An algebraic number is a complex number which is the root of a polynomial equation with rational coefficients.
classifacation of algebraic expression according to the number of terms
an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,
An algebraic number is one which is a root of a polynomial equation with rational coefficients. All rational numbers are algebraic numbers. Irrational numbers such as square roots, cube roots, surds etc are algebraic but there are others that are not. A transcendental number is such a number: an irrational number that is not an algebraic number. pi and e (the base of the exponential function) are both transcendental.
An algebraic integer is a number which is a root of a monic polynomial whose coefficients are integers.
a common factor
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
An algebraic number is a number that is a root of a non-zero polynomial with rational coefficients. A transcendental number is a real or complex number that is not an algebraic number. Two notable examples are pi and e.
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The algebraic expression "twice a number z" can be represented as 2z. In this expression, the variable z represents the unknown number, and multiplying it by 2 gives you twice that number. This expression can be used in algebraic equations and formulas to represent scenarios where a number needs to be doubled.
If I understand the question correctly, it is when the algebraic equation (or inequality) is true.
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