What must be added to x^3 – 3x^2 – 12x + 19 so that the result is exactly divisible by x^2 + x – 6?
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So, let r(x) = ax +b is added to p(x) so that p(x) + r(x) is divisible by q(x). Hence, x 3 - 3x 2 -12x +19 is divisible by x 2 + x -6 when 2x+5 is added to it.
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