Find the remainder when the polynomial P(x) = 2x³ - 3x² + 4x - 5 is divided by (x - 2).
Answer and explanation
Correct answer: A. 7
- Step 1: Apply Remainder theorem: the remainder is P(2). Step 2. Substitute x = 2: P(2) = 2(2³) - 3(2²) + 4(2) - 5. Step 3. Compute: P(2) = 2(8) - 3(4) + 8 - 5 = 16 - 12 + 8 - 5 = 7. Answer: 7. Why not the others: 11 forgets to subtract 5; 3 subtracts 8; 15 adds all terms.
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