Answer:
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We need to find the remainder when -5x³ + 2x + 3 is divided by x + 2.
According to the remainder theorem, the remainder is the value of the polynomial when x = - 2:
- -5(-2)³ + 2(-2) + 3 =
- - 5(-8) - 4 + 3 =
- 40 - 1 =
- 39
The matching choice is B.