SOLUTION: Hello Tutors, I am having trouble with the following problem. I have written some of my work and thoughts on this question out. Thank you very much for your attention and time i

Question 101421: Hello Tutors,
I am having trouble with the following problem. I have written some of my work and thoughts on this question out. Thank you very much for your attention and time in helping me!
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1. A polynomial F, when divided by (x - 1), gives the remainder R1 = 2. The same polynomial F, when divided by (x + 1) gives the remainder R2 = 4. Find the remainder when F is divided by . (Hint: Write the division statement when F is divided by )
My work:
The division statement:

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
Use your own hint on the two equations.

1.
2.
And then set both right hand sides equal to each other

Then solve for Q(x). Then use it to solve for F(x).
I think that's enough to get you kick-started.
Submit another on if you get stuck again.

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