Question

How would I make up a polynomial function to a third degree, and how would I substitute f(3) into that function?

Step 1: Create a Third-Degree Polynomial

You can create a third-degree polynomial in the form: f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants that you need to determine.
Step 2: Substitute f(3)

To find f(3), replace x with 3 in your polynomial: f(3) = a(3)³ + b(3)² + c(3) + d.
Step 3: Solve for f(3)

Calculate the value of f(3) by substituting 3 into your polynomial and solving for the result.

Answer 1

To create a third-degree polynomial function, use the form f(x) = ax³ + bx² + cx + d. Substituting f(3) into the function involves replacing x with 3 and simplifying the expression.

Step-by-step explanation:

To create a third-degree polynomial function, you can use the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants that you need to determine.

or example, let's say you want to create a third-degree polynomial function with a = 2, b = -3, c = 4, and d = -1. The function would be f(x) = 2x³ - 3x² + 4x - 1.

To substitute f(3) into the function, you need to replace x with 3. Using the example function from the previous step, f(3) = 2(3)³ - 3(3)² + 4(3) - 1. Simplifying the expression gives you f(3) = 54 - 27 + 12 - 1 = 38.