Answer:
Step-by-step explanation:
1. The polynomial must have the following zeros:
2. This means the following:
3. Multiply each term. The product of the multiplicaction is equal to zero. Then:
4. and are conjugates, therefore, you have:
5. Apply the Distributive property. Then, you obtain:
6. The polynomial of degree 4 and zeros −4, 0, 4 and 6 is: