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Factor Theorem

What must be ...

Question

What must be added to $3 x^{3} + x^{2} - 22 x + 9$ so that the result is exactly divisible by $3 x^{2} + 7 x - 6$ ?

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Solution

To find what should be added to $3 x^{3} + x^{2} - 22 x + 9$ so that result is exactly divisible by $3 x^{2} + 7 x - 6$

therefore, 2x-3 should be added to $3 x^{3} + x^{2} - 22 x + 9$ is divisible by $3 x^{2} + 7 x - 6$ .

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