Answer: 15
Step-by-step explanation:
Using synthetic division:
-5 | 1 9 17 -8 50
| ↓ -5 -20 15 -35
1 4 -3 7 15 ← this is the remainder
Check:
f(x) = x⁴ + 9x³ + 17x² - 8x + 50
f(-5) = (-5)⁴ + 9(-5)³ + 17(-5)² - 8(-5) + 50
= 625 - 1125 + 425 + 40 + 50
= 15
