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Jan 12, 2024
To divide the polynomial x³ + 2x² - 5x - 6 by x - 2, we can use long division.
x² + 4x + 3
___________________
x - 2 | x³ + 2x² - 5x - 6
- (x³ - 2x²)
_____________
4x² - 5x
- (4x² - 8x)
___________
3x - 6
- (3x - 6)
_________
0
Therefore, the quotient is x² + 4x + 3 and the remainder is 0.
x² + 4x + 3
___________________
x - 2 | x³ + 2x² - 5x - 6
- (x³ - 2x²)
_____________
4x² - 5x
- (4x² - 8x)
___________
3x - 6
- (3x - 6)
_________
0
Therefore, the quotient is x² + 4x + 3 and the remainder is 0.
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