2. Given: If a polynomial is prime, then it cannot be factored. \[ 5 x+13 y \text { is prime. } \] Conclusion:

To analyze the given statement and conclusion, let's break it down: 1. **Given Statement**: "If a polynomial is prime, then it cannot be factored." This is a general property of prime polynomials. A polynomial is considered prime (or irreducible) if it cannot be expressed as a product of two non-constant polynomials. 2. **Specific Case**: "5x + 13y is prime." This means that the polynomial \(5x + 13y\) cannot be factored into the product of two non-constant polynomials. 3. **Conclusion**: Based on the given statement and the specific case, we can conclude that since \(5x + 13y\) is prime, it cannot be factored into simpler polynomials. Thus, the conclusion is: **Conclusion**: \(5x + 13y\) cannot be factored into the product of two non-constant polynomials.