# Homework Help: Is 18 a polynomial?

1. Oct 2, 2017

### Hawksteinman

1. The problem statement, all variables and given/known data
Is the following a polynomial or not: 18

2. Relevant equations

3. The attempt at a solution
Not a polynomial (computer says it is)

2. Oct 2, 2017

### Staff: Mentor

What is the definition of a polynomial?

And what is that computer that's giving you answers???

3. Oct 2, 2017

### Hawksteinman

A polynomial is of the form ax^n + bx^m where a, b, n, and m are integers

And it's a test on mymathlab.com that counts 2.5% to my final grade (I get unlimited tries until October 26th)

4. Oct 2, 2017

### Staff: Mentor

That's not a very good definition (and false if one is to take a and b as integers only). Have a look at Wikipedia for a better one.

But even with your definition, can you find coefficients a, b, n, and m such that the result is ax^n + bx^m = 18?

5. Oct 2, 2017

### Hawksteinman

Thanks :D

Yes, but 18 itself isn't a polynomial?

6. Oct 2, 2017

### Hawksteinman

Or is 18 just a polynomial of order 0

7. Oct 2, 2017

### Staff: Mentor

In general parlance, no, 18 is not a polynomial. But in the context of polynomials, you can indeed say that 18 is a polynomial of degree 0, with only a constant coefficient.