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## Question:

Which of the following are not polynomials?

## Answer:

First, ask yourself: What is a polynomial? It’s an algebraic expression in which all powers of x are zero or positive integers.

Eliminate E because -2 is not a positive integer exponent.

Accept D because all of the powers of x are positive integers: {3, 2, 1, 0}

Eliminate C because -3 is not a positive integer power

Eliminate A and B because of the fractional or negative exponents shown.

Only D is a polynomial.

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