A polynomial is a linear combination of non-negative integer powers of a variable.
A linear combination means you can multiply the terms by constant numbers before summing them. The terms can consists of only positive integer powers of the variable or a constant.
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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.
if it has parentheses
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.