To analyze the quadratic expression \( 5x^2 + 7x + 12 \), we can identify its components:
- Coefficient of \( x^2 \): This is the term in front of the squared term, which is \( 5 \).
- Coefficient of \( x \): This is the term in front of the linear term, which is \( 7 \).
- Constant term: This is the term without any variable, which is \( 12 \).
So, the correct list of terms for the quadratic expression \( 5x^2 + 7x + 12 \) would be:
- Quadratic term: \( 5x^2 \)
- Linear term: \( 7x \)
- Constant term: \( 12 \)
Additionally, we could label it as:
- Coefficient of \( x^2 \): \( 5 \)
- Coefficient of \( x \): \( 7 \)
- Constant: \( 12 \)
If you are looking for specific terms or factors for the expression, it does not factor nicely with integer coefficients, as the roots are not rational. Let me know if you need further information or specific details!