Find the remainder when the polynomial is divided by x-4.

To find the remainder when a polynomial \( f(x) \) is divided by \( x-4 \), we can use the Remainder Theorem. The Remainder Theorem states that the remainder of the division of a polynomial \( f(x) \) by \( x-a \) is \( f(a) \).

Let's denote the polynomial \( f(x) \). To apply the Remainder Theorem, we need to evaluate \( f(x) \) at \( x = 4 \).

Given the graph, we don't have the explicit form of the polynomial. However, if you have the polynomial equation, you can substitute \( x = 4 \) into the polynomial to find the remainder. If the equation of the polynomial is not provided, please provide it, or we can approximate it based on the given graph points.

Do you have the explicit polynomial equation, or should we approximate it based on the given points in the graph?

Learn how to find the remainder when a polynomial is divided by x-4 using the Remainder Theorem. This problem involves evaluating the polynomial at a specific point and understanding the application of the Remainder Theorem in polynomial division. Suitable for high school students studying algebra and polynomial functions.

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