Divide 3x^3 + 3x^2 + 2x - 2 by x + 3 using long division.
To divide 3x^3 + 3x^2 + 2x - 2 by x + 3 using long division, we follow these steps:
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x + 3 | 3x^3 + 3x^2 + 2x - 2
- (3x^3 + 9x^2)
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-6x^2 + 2x
- (-6x^2 - 18x)
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20x - 2
- (20x + 60)
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-62
Therefore, the quotient is 3x^2 - 6x + 20 and the remainder is -62.