Find the difference between the quotient and remainder when (7 + 15x - $13 x^{2} + 5 x^{3}$ ) is divided by (4 - 3x + $x^{2}$ )

4x + 3

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-4x - 3

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Both (A) and (B)

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None of these

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Solution

The correct option is A 4x + 3

Quotient = 5x + 2 Remainder = x = 1
Q - R = 5x + 2 - x + 1 = 4x + 3

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