Let's analyze the problem shown in the image:

The given equation to solve is $7x - 3 = 0$.

Solution:

1. Solve for $x$ by isolating it: $7x = 3$ $x = \frac{3}{7}$

Thus, the third zero of the function is $\frac{3}{7}$.

Final Answer:

The zeros of the function are: $8 - i, \quad 8 + i, \quad \frac{3}{7}$

Would you like further clarification on solving linear equations or the connection between these roots?

Related Questions:

1. What is the significance of complex conjugate pairs, like $8 - i$ and $8 + i$, in polynomial functions?
2. How do we determine the degree of a polynomial from its zeros?
3. Why must the coefficients of a polynomial with real coefficients produce complex conjugate roots?
4. Can we graphically represent the zeros of a polynomial containing complex numbers?
5. How can synthetic division help in confirming polynomial zeros?

Tip:
Always check for complex conjugate pairs when solving higher-degree polynomial equations involving complex numbers.