What is the definition of a monomial and polynomials with examples

The video tutorial introduces monomials and polynomials, defining them and providing examples. Monomials are described as numbers, variables, or their products, while polynomials are sums of monomials. Examples of both are given, along with non-examples to highlight restrictions such as rational and negative powers. The tutorial emphasizes understanding what constitutes a polynomial and notes that square roots and variables in denominators are not part of polynomials.

Explain why x to the 1/2 plus 3x squared is not a polynomial.

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What is the significance of not having negative powers in polynomials?

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Describe the relationship between rational powers and polynomials.

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