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5x + 6x³ - 8 divided by x - 2
Write 5x + 6x³ - 8 in descending order
6x³ + 5x - 8
Insert "+ 0x²" as a placeholder for a term in x²
6x³ + 0x² + 5x - 8
You can either use long division or synthetic division:
Long division:
6x² + 12x + 29 +
x - 2)6x³ + 0x² + 5x - 8
6x³ - 12x²
12x² + 5x
12x² - 24x
29x - 8
29x - 58
50
Or by synthetic division:
2| 6 0 5 -8
| 12 24 58
6 12 29 50
6x² + 12x + 29 +
Edwin