Algebraic Expression (redirected from Expression (mathematics))

algebraic expression

One or more characters or symbols associated with algebra; for example, A+B=C or A/B.

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algebraic expression [¦al·jə¦brā·ik ik′spresh·ən]

(mathematics)

An expression which is obtained by performing a finite number of the following operations on symbols representing numbers: addition, subtraction, multiplication, division, raising to a power.

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Algebraic Expression 

an expression consisting of letters and numbers joined by signs denoting the operations of addition, subtraction, division, raising to whole-number powers, and extraction of roots (exponents of powers and indices of radicals must be constants). An algebraic expression is said to be rational with respect to certain literal symbols included within it if such symbols do not appear under a radical sign: for example, is rational with respect to a, b, and c. An algebraic expression is said to be integral with respect to certain literal symbols if it does not contain any division by expressions containing those symbols: for example, 3a/c + bc² − 3ac/4 is integral with respect to a and b. If some or all of the literal symbols are considered to be variables, the algebraic expression is an algebraic function.