Algebra-2

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 . The factor has no real zeros since implies , which has no real solutions.

   - Conclusion: This function has only the real zeros and , so it meets the requirement.

 

B. :

   - Real Zeros: The factors , , and give zeros (with multiplicity 2), , and .

   - Total Zeros: This function has an additional zero , which is not required.

   - Conclusion: This function does not meet the requirement.

 

C.

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