Proving Polynomial Property: Get Hint Here

[Jbreezy]

Homework Statement

Prove the following

For each real a, the function p given by p(x) = f(x+a) is a polynomial of degree n.

Homework Equations

Can I have a hint I have hard time starting.Thanks

The Attempt at a Solution

 

[epenguin]

Homework Statement

Prove the following

For each real a, the function p given by p(x) = f(x+a) is a polynomial of degree n.

Homework Equations

Can I have a hint I have hard time starting.Thanks

The Attempt at a Solution

I think the hint would be to re-read the question and any material that is being assumed as background to it, as there has to be some condition or definition on f else it is not even true. That condition would be what you have to use.

 

[HallsofIvy]

For example, if f(x)= sin(x), then p(x)= sin(x+ a) is NOT a polynomial. Surely, you have misunderstood the question.