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THE REMINDER ON DIVIDING p(x) BY (x-a) IS k AND THE REMINDER ON DIVIDING Q(x) BY (x-a)IS -K. PROVE THAT (x-a) IS A FACTOR OF p(x)+Q(x). [kindly reply as fast you can.please..............]
P(a) = k
Q(a) = - k
P(a) + Q(a) = k-k = 0
So (x-a) is a factor of  P(x) + Q(x).


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