The first thing you should note, from the remainder theorem, is that
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Are you told what degree the polynomial is?
I have don't understand how to solve problems like this:When we divide f(x) by (x-1), (x-2) and (x+1) the remainders are 3, 7 and 5. Find the remainder of f(x) divided by (x-1)(x-2)(x+1).I try to write them like this:
f(x) = P*(x-1)+3
f(x) = Q*(x-2)+7
f(x) = R*(x+1)+5
To get a result like this after some manipulation:
f(x) = S*(x-1)*(x-2)*(x+1)+y
But I can't.
Help me please.