(x⁴ + 2x³ - 3x² + 4x - 5) ÷ (x² + 2).
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Answer: quotient = x²+ x - 5
remainder = -2x + 5
x² + 2 ) x ⁴ + 2x³ - 3x² + 4x - 5 ( x² + x - 5
x⁴ + 2x²
-. -
━━━━━━
2x³ - 5x² + 4x
2x³ +2x
- -
━━━━━━━
- 5x² - 2x - 5
- 5x² - 10
+ +
━━━━━
- 2x + 5
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