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To determine the remainder when \( P(x) \) is divided by \( (x - 3) \), we can use the Remainder Theorem. The Remainder Theorem states that the remainder of the division of a polynomial \( P(x) \) by \( (x - a) \) is simply \( P(a) \).

In this case, we need to evaluate \( P(3) \), which is the value of the polynomial at \( x = 3 \).

Looking at the graph of \( P(x) \), we find that when \( x = 3 \), the corresponding \( y \)-value is \( 3 \). This means \( P(3) = 3 \).

Therefore, the remainder when \( P(x) \) is divided by \( (x - 3) \) is **3**.

Would you like more details on this solution or have any questions?

Here are some related questions you might find useful:
1. How do you determine the zeros of a polynomial from its graph?
2. What is the Remainder Theorem and how is it applied?
3. How can the Factor Theorem be used to factor polynomials?
4. What are the implications of the Remainder Theorem in polynomial division?
5. How do you determine the degree of a polynomial from its graph?

**Tip:** When applying the Remainder Theorem, always remember that you only need the value of the polynomial at the specific point corresponding to the divisor.

What is the remainder when P(x) is divided by (x - 3)?

Learn how to find the remainder when a polynomial P(x) is divided by (x - 3) using the Remainder Theorem. Evaluate P(3) from the graph to find the remainder. Suitable for students in Grades 9-11.

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