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Using the remainder theorem, find the remainder when f(x) = 3x³ + 6x² - 4x - 5 is divided by (x + 3).

1. -20
2. 0
3. 16
4. -2

Correct answer: -20

Solution

By the remainder theorem, dividing by (x + 3) gives remainder f(-3). f(-3) = 3*(-27) + 6*(9) - 4*(-3) - 5 = -81 + 54 + 12 - 5 = -20.

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