Question

Given x2 + 2x + 1 and x. Which expression will not produce a polynomial?

Answer 1

• x² + 2x + 1: polynomial ✓
• x: not a polynomial

Explanation:

In mathematics, more specifically in algebra, polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

Here we have two expression, x² + 2x + 1 and x
`.` The first one there are more than 2 terms and different powers in this expression. So it's a polynomial.

In the second one, there is only one term. And hence not many powers, so it's not a polynomial.