if it has parentheses
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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.
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).
monomial binomial trinomial polynomial
A polynomial is one possible answer.
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.