Let's address the questions based on the given information:

If $c$ is a zero of the polynomial $P$, here's how we can complete the statements:

(a) $P(c) = ?$
Since $c$ is a zero of the polynomial $P$, it means $P(c) = 0$.

(b) $x - c$ is a ___ of $P(x)$.
If $c$ is a zero, then $x - c$ is a factor of $P(x)$.

(c) $c$ is a(n) ___-intercept of the graph of $P$.
Since $c$ is a zero of $P$, it represents the $x$-intercept of the graph of $P$.

So the completed answers are:

(a) $P(c) = 0$
(b) $x - c$ is a factor of $P(x)$.
(c) $c$ is an $x$-intercept of the graph of $P$.

Would you like more details or have any questions about this?

Here are some related questions that might interest you:

1. How do you find the zeros of a polynomial function?
2. What is the relationship between the factors and zeros of a polynomial?
3. How do you determine the multiplicity of a zero?
4. What is the significance of the x-intercept in the graph of a function?
5. How can you use synthetic division to verify a zero of a polynomial?

Tip: Remember, zeros of a polynomial function correspond to the points where the graph intersects the x-axis, which are also the roots or solutions of the polynomial equation $P(x) = 0$.