139k views
5 votes
Which expression is not a polynomial?

А. 8х^10 + 2х^5
B. 5х^5
C. x^5+2
D. 5х^-1 + 4х^-2

User Ploppy
by
8.4k points

1 Answer

3 votes

Answer:

D.

Explanation:

A term in a polynomial is a single number or a number multiplied by any number of variables. A polynomial is a sum of terms.

The only thing that can be done with variables in a polynomial is to multiply them by numbers or other variables. In a polynomial, you cannot: divide by a variable (have a variable in a denominator), have a root of a variable, have a log of a variable, have a variable as an exponent, etc.

All expressions are polynomials except for D. In D., the negative exponents mean division by variables.

User Anomitra
by
7.9k points