Answer: D
Explanation:
x - 2 = 0 --> x = 2
Using synthetic division:
2 | 4 -5 3 -1
| ↓ 8 6 18
4 3 9 17 ← this is the remainder!
Using remainder theorem:
f(x) = 4x³ - 5x² + 3x - 1
f(2) = 4(2)³ - 5(2)² + 3(2) - 1
= 32 - 20 + 6 - 1
= 17
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