Answer :
The division shows that the quotient is -3x² - 4x + 2 and the remainder is 147x² + 74x - 6.
How to show the division
-3x² - 4x + 2
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x³ + 6x² - 3x - 5 | -3 - 22x⁴ - 13x³ + 39x² + 14x - 6
3x + 18x⁴ - 9x³ - 15x²
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-4x⁴ - 4x³ + 39x² + 14x
-4x⁴ - 24x³ + 12x² + 20x
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20x³ + 27x² + 14x - 6
20x³ + 120x² - 60x - 100
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147x² + 74x - 6
Hence, the quotient is -3x² - 4x + 2 and the remainder is 147x² + 74x - 6.
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