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What must be (a) subtracted from (b) add...

What must be (a) subtracted from (b) added to f(x) ` = 8x^(4) + 14 x^(3) - 2x^(2) + 7 x - 8` so that resulting polynomial is exactly divisible by `4x^(2) + 3x - 2` ?

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The correct Answer is:
If we add - r (x) i.e. - 14x + 10 to f (x) the resulting polynomial is exactly divisible by g(x) .
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