I need help:

Make up two polynomial functions,f(x) & g(x).

• f(x) should be of degree 3 or higher.g(x)should be of degree 4 or higher.
• Findf(3)in each of the three ways: substitution, remainder theorem (synthetic division), and long division. You should get the same answer three times forf(3).

• Findg(-2)once using your choice of the three methods.
• Organize your four calculations in an orderly manner. (Images will need to be provided in your post.)

A.Post your polynomials,f(x)and g(x), and submit screenshots of your organized calculations.

• Answer the following questions:

• Why did you choose the method you used to solve?
• Can you think of any other ways (other than the three used here) to evaluate a function?
• Can you come up with and explain a way to check your answer?
• Challenge:Can you explain why the remainder theorem works?