To determine the number of real and imaginary zeros from the given graph of a 4th-degree polynomial, we can analyze the graph's behavior:

Key observations:

1. Real Zeros: Real zeros correspond to the points where the polynomial crosses or touches the x-axis. In this case, the graph crosses the x-axis twice, indicating two real zeros.

2. Degree of Polynomial: According to the Fundamental Theorem of Algebra, a 4th-degree polynomial will have exactly four zeros (real or imaginary).

3. Imaginary Zeros: Since the polynomial has two real zeros and must have four in total, the remaining zeros must be imaginary. Therefore, there are two imaginary zeros.

Conclusion:

• Number of real zeros: 2
• Number of imaginary zeros: 2

Would you like further explanation on how to identify zeros or additional details on the polynomial's properties?

Here are 5 related questions:

1. How can we determine the multiplicity of a zero from the graph?
2. What is the difference between real and imaginary zeros in a polynomial?
3. How does the degree of a polynomial relate to the maximum number of turning points?
4. What is the importance of the Fundamental Theorem of Algebra in polynomial analysis?
5. Can a polynomial have more imaginary zeros than real zeros?

Tip: A polynomial of degree $n$ will always have exactly $n$ zeros, though some might be real, and others may be complex (imaginary).