Answer:
Step-by-step explanation:
#1 Synthetic method
- 2x³ + x² - 2x - 4 ÷ x + 1 = 2x² - x - 1 rem 3
--------------------------------------
x + 1 | 2x³ + x² - 2x + 4
---------------------------------
-1 | 2 1 -2 4
| - 2 1 1
2 - 1 - 1 3
#2 Long division
- 3x³ - 5x² - 26x - 8 ÷ 3x + 1 = x² - 2x - 8
--------------------------------------
3x³ - 5x² - 26x - 8 | 3x + 1 = x² - 2x - 8
3x³ + x²
-6x² - 26x
-6x² - 2x
- 24x - 8
- 24x - 8
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