3. (ii) Find 'a' and 'b' so that x4 + x3 + 8x² + ax + b is divisible by x2 + 1 ?
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Now, if x4+x3+8x2+ax+b is divisible by x2+1 , then the remainder should be equal to zero. Thus, we find that the values of a and b so that x4+x3+8x2+ax+b becomes divisible by x2+1 is a=1 and b=7 which is the required answer to the given question.
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