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Basically, an expression is not a polynomial when anything is done that is not allowed in a polynomial - for example, use any variable in the denominator of a monomial, use non-integral powers or radicals (which is basically the same as a non-integral power), use functions, etc.

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Q: What are the conditions that an algebraic expression is not a polynomial?
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Related questions

Differentiate of polynomial and algebraic expression?

A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.


How can i Differentiate between an algebraic expression and polynomial?

A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.


What is the basic difference between algebraic expression and polynomial?

A polynomial is a type of algebraic expression. They differ in the number of terms that contain variables. An algebraic expression has at least 1 variable, while a polynomial has multiple terms with variables in it.


Is polynomial an algebraic expression?

Yes.


Are all polynomial an algebraic expression?

Yes


When can an algebraic expression be called polynomial?

if it has parentheses


Are all algebraic expression a polynomial expression?

Not really.For example: x can be considered and algebraic expression by itself, however it is only a single variable, so by definition it is not a polynomial expression (multiple-number expression).


When is an algebraic expression considered as a non-polynomial expression?

An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand


Is there any difference between an algebraic expression and a polynomial?

Yes


What is an expression that completely divides a given polynomial?

It is an algebraic factor.


What are the terms in algebraic expression?

monomial binomial trinomial polynomial


Is matrix polynomial and polynomial matrix same?

No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.