The polynomial shown in the image is $r^3 - r^2 + 9r$.

To determine what this polynomial is called based on the number of terms:

• Term count: There are 3 terms in the polynomial: $r^3$, $-r^2$, and $9r$.
• A polynomial with 3 terms is called a trinomial.

Thus, the correct answer is A) Trinomial.

Would you like further clarification or details?

Here are 5 related questions to expand your understanding:

1. What defines a polynomial as a binomial?
2. How do we classify polynomials based on their degree?
3. What is the degree of the polynomial $r^3 - r^2 + 9r$?
4. Can a trinomial also be quadratic or cubic?
5. How do the terms of a polynomial affect its classification?

Tip: A polynomial's name is based on both its number of terms (e.g., monomial, binomial, trinomial) and its degree (e.g., linear, quadratic, cubic).