To determine which of the given expressions is a trinomial, we first need to understand what a trinomial is. A trinomial is a polynomial that has exactly three terms.
Let’s examine each option:
- c² + c + 6: This expression has three terms: c², c, and 6. Therefore, it is a trinomial.
- c² + 16: This expression has two terms: c² and 16. Hence, it is not a trinomial.
- 8c + c³ + 4c² + 12c + 7: This expression simplifies to: c³ + 4c² + 20c + 7. It contains four terms (c³, 4c², 20c, and 7), so it is also not a trinomial.
In summary, out of the provided expressions, c² + c + 6 is the only trinomial.