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Hi Ram, In order to find k & a we must first find the remainder in terms of k. We can find this by using polynomial long division. Perform the division The remainder involves both x and k and you can group the terms involving x to write the remainder
where p(k) and q(k) are expressions involving k. But you know the remainder is x + a so
Thus
Solve the first equation for k and then substitute the value of k into the second equation and solve for a. Hope this helps. | ||||||||||||
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |