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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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Question

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

Sum
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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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