To determine the coefficients in the given expression \( 12xy^3 + 2x^5y + 4x^5y^2 + 7x^5y \), we need to identify the numerical factors associated with each term. Here's how we can do that:
1. First term: \( 12xy^3 \)
- The coefficient is 12.
2. Second term: \( 2x^5y \)
- The coefficient is 2.
3. Third term: \( 4x^5y^2 \)
- The coefficient is 4.
4. Fourth term: \( 7x^5y \)
- The coefficient is 7.
Now, we compile all identified coefficients from each term: 12, 2, 4, and 7.
Given the list of numbers to select from: 2, 3, 4, 5, 7, and 12, the coefficients present in the expression are:
- 12
- 2
- 4
- 7
Therefore, the selected coefficients are [tex]\( \boxed{2, 4, 7, 12} \)[/tex].
