https://file.aiquickdraw.com/mathbot/file/1727411855943ckgo9kuh.jpg

The image presents a polynomial function \( f(x) = -2x^4 + 33x^3 - 55x^2 + 120x + 451 \), and the problem asks to find the value of the function when \( x = 15 \).

To solve this, I will substitute \( x = 15 \) into the polynomial expression and compute the result.

Given:

\[
f(15) = -2(15)^4 + 33(15)^3 - 55(15)^2 + 120(15) + 451
\]

I will now compute the value.The value of the polynomial function \( f(x) \) at \( x = 15 \) is \( f(15) = 1 \).

Thus, the correct answer is **A. 1**.

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. How do we determine the degree of a polynomial function?
2. What are the possible types of roots a polynomial function can have?
3. How can synthetic division help in evaluating polynomial functions?
4. What is the role of the leading coefficient in determining the behavior of a polynomial?
5. How can the remainder theorem be applied to check if a value is a root of a polynomial?

**Tip**: When substituting values into a polynomial, it helps to calculate powers and terms separately to avoid mistakes.

Nilai fungsi x = 15 fungsi polinomial f(x) = -2x^4 + 33x^3 - 55x^2 + 120x + 451 adalah ...

Learn how to evaluate the polynomial function f(x) = -2x^4 + 33x^3 - 55x^2 + 120x + 451 at x = 15. This problem covers key concepts in polynomials and function evaluation, suitable for Grades 11-12. Understand how to substitute and calculate the function value step-by-step.

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