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Question
What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
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Solution

Thus, (x - 2) should be added to (\[x^4 + 2 x^3 - 2 x^2 + x - 1\] ) to make the resulting polynomial exactly divisible by \[(x^2 + 2x - 3)\]
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