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A polynomial consists of one or more parts, each of which is called a monomial. The monomials are combined with "+" or "-" operations.

Within each monomial, any real number is combined with one or more variables, using only multiplication, and - for the variables - positive integer powers (which is just a shortcut for repeated multiplication).

That's about it; you can see how best to split this into exactly "4 conditions" if you like.

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10y ago
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Q: What are the 4 conditions for an algebraic expression to be a polynomial?
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