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Polynomials - unknown quotient

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here is this question in my text book that is as follows:

 

"when P(z) is divided by z2-3z+2 the remainder is 4z-7. Find the remainder when P(z) is divided by: a) z-1 b) z-2"

 

It does not tell me what P(z) is and the example does not explain this kind of question and they are all like this. I am very confused and would really like some help!!

In addition to Nikhil you can simply see that if p(z) is divisible by divider d(z) then all dividers of d(z)would be the divider of p(z). I think now you got at least the way,the rest is upto you.

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