Remainder from Polynomial Division
If polynomial P(x) leaves 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
$$\frac{12}{5}x - \frac{1}{5}$$
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