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Remainder from Polynomial Division

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A polynomial P(x) has a remainder of 7 when divided by (x - 3) and a remainder of -5 when divided by (x + 2). What is the remainder when P(x) is divided by (x - 3)(x + 2)?

A

12x - 31

B

-12x - 31

C

12x + 31

D

125x−15\frac{12}{5}x - \frac{1}{5}

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