Question

Is x^(-2)+5 a polynomial expression? Why or why not?

Answer 1

Thanks for the correction. Answer: No, $x^(^-^2^)+5$ is a polynomial expression because it has a break between numerical exponents. It goes from $0x^1$ to $x^2$, which makes it in the form of $x^{2}$ to $x^0$ which means that it is NOT a polynomial.

Answer 2

F(x) = x^2 + 0x + 5 does NOT satisfy the criteria for a polynomial expression:

1) all the powers of x, beginning with 0, are positive integers
2) the terms are arranged in descending order by powers of x

Here we have x^(-2), with a negative exponent.

No, x^2 + 0x + 5 does NOT satisfy the criteria for a polynomial expression.