Talk:Algebraic expression

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I can't see how this article differs from that on "Expression (mathematics)"? The examples given in that article, include linear and quadratic equations, which are all algebraic equations? --Iantresman (talk) 10:35, 21 September 2012 (UTC)Reply

A general expression may contain for example logarithms, trigonometric functions, hyperbolic functions and so on. An algebraic expression contains only algebraic operations including exponentiation to a rational power. One could consider merging this article into Expression (mathematics), provided that the distinction is made clear in that article. Isheden (talk) 11:01, 21 September 2012 (UTC)Reply

The table in the article may be misleading and should be checked against reliable sources. For example, surely an algebraic expression may include complex numbers as well as real numbers, but how about transcendental numbers? I saw some definition that only includes algebraic number coefficients. Isheden (talk) 19:42, 9 January 2013 (UTC)Reply

I was working on Wikiversity to make a list of math resources suitable for physics students when I found Linear_equation#Algebraic_equations. I linked to it from here, but think that the entire section should be either moved here, copied hither, or transcluded here. I don't know which choice is appropriate, but do believe these links are essential to this page. Is anybody watch/editing both pages?--guyvan52 (talk) 14:50, 8 June 2014 (UTC)Reply

According to the lead of this article, algebraic expressions are expressions that use the four basic operations of arithmetic plus exponentiation and roots, while rational expressions only contain those four basic operations. Yet, the supposed example of "rational expressions" contains exponents.

I am correcting the example on the article (which is still problematic as the information relating to rational expressions is not cited), but if you object to my subsequent edit, please discuss here. - S L A Y T H E - (talk) 03:08, 25 April 2023 (UTC)Reply

> If you restrict your constants to integers, the set of numbers that can be described with an algebraic expression are called Algebraic numbers.

Not true, since polynomials of degree 5 or higher can have roots that cannot be expressed in terms of the basic arithmetic operations and extraction of nth roots (such as the roots of x5 − x + 1). These roots are algebraic numbers, but they can not be described with an algebraic expression with integer constants. --by Huhu9001 (talk) at 13:50, 23 September 2024 (UTC)Reply