what is the diffrence between algebric expression and polynomials ?
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Polynomial" is a precisely defined term. A polynomial is constructed from constants and variables by adding and multiplying. One could add "subtracting", but x−yx−y is x+(−1)yx+(−1)y, so adding and multiplying are enough.
"Algebraic expression" is not a precisely defined term. Algebraic expressions include many things that are not polynomials, including rational funtions, which come from dividing polynomials, and things like x√x.
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A polynomial is constructed from constants and variables by adding and multiplying. ... Algebraic expressions include many things that are not polynomials, including rational funtions, which come from dividing polynomials, and things like √x.
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