To find a quartic function with only real zeros at and , we can analyze the given options.
Analysis of Options:
A. :
- Real Zeros: The factors and give zeros and . However, the factor gives a zero at , which is not required.
- Total Zeros: This function has an additional zero that is not needed.
- Conclusion: This function does not meet the requirement.
B. :
- Real Zeros: The factors and give zeros and . The factor has no real zeros since