What is the remainder when the polynomial P(x) = 2x^3 - 5x^2 + 4x - 7 is divided by (x - 2)?
Answer and explanation
Correct answer: D. -3
According to the polynomial remainder theorem, the remainder when P(x) is divided by (x - c) is equal to P(c). Here c = 2: P(2) = 2(2)^3 - 5(2)^2 + 4(2) - 7 = 2(8) - 5(4) + 8 - 7 = 16 - 20 + 8 - 7 = -3.
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