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What must be added to f(x) = x^(4) + 2x...

What must be added to `f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1` so that the polynomial is exactly divisible by `g(x) = x^(2) +2x - 3` ?

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The correct Answer is:
(x - 2) needs to be added to f(x) so that f(x) is exactly divisible by g(x) .
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