Polynomial functions

[Bahnanna]

So the question is:
The polynomial P(x) is such that P(2)=P(-2)=2. Find the remainder when P(x) is divided by x^2 - 4
Any help to start off would be appreciated.

 

[Deleted member 4993]

So the question is:
The polynomial P(x) is such that P(2)=P(-2)=2. Find the remainder when P(x) is divided by x^2 - 4
Any help to start off would be appreciated.

Use the remainder theorem of polynomials.

For a refresher go to:

http://www.purplemath.com/modules/remaindr.htm

 

[Bob Brown MSEE]

So the question is:
The polynomial P(x) is such that P(2)=P(-2)=2. Find the remainder when P(x) is divided by x^2 - 4
Any help to start off would be appreciated.

Let f(x) be the polynomial f(x) = P(x) - 2
then f(2)=f(-2)=0
so f(x) = g(x) * (x-2)(x+2)
for some polynomial g(x)

P(x) = g(x) * (x-2)(x+2) + 2

 

[Bahnanna]

Polynomials

I am still having trouble starting, is there anymore information that you could give me??

 

[stapel]

I am still having trouble starting, is there anymore information that you could give me??

You've been told the Theorem to use, been given a link to a lesson on that Theorem, and been provided the reasoning and the steps to set up P(x) to apply the Theorem. In other words, you've been given the "start" and the "middle". All that's left is for you to apply the Theorem to finish the solution.

Where are you getting stuck? Please reply showing your efforts. Thank you!

 

[Bahnanna]

polynomials

I got it figured out that the remainder is equal to 2
thanks for all of your help