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What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x -6? 

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Let p(x) = 3x3 + x2 − 22x + 9 and q(x) = 3x2 + 7x -6

Hence, 3x3 + x2 − 22x + 9 will be divisible by 3x2 + 7x -6 is added to it.

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