Question

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Answer 1

Answer:

$\frac{x^2}{7}+1 \text{ is a polynomial;}\\-2x^3+2x+4 \text{ is a polynomial;}\\x^{-3}+4x \text{ is not a polynomial;}\\\text{and }6x-x^3+4x^2 \text{ is a polynomial.}$

Step-by-step explanation:

A polynomial is the sum or difference of one or more monomials.  A monomial is a constant, a variable, or the product of constants and variables.  It does not include negative exponents.

The first choice is a polynomial because the only terms are variables with positive exponents and constants.

The second choice is a polynomial because the only terms are variables with positive exponents and constants.

The third choice is not a polynomial because the first term has a negative exponent.

The fourth choice is a polynomial because the only terms are variables with positive exponents and constants.