Answer: [tex]\bold{-3x^2+29x-150+\dfrac{946x^2-341x-756}{x^3+6x^2-3x-5}}[/tex]
Step-by-step explanation:
-3x² + 29x - 150
x³ + 6x² - 3x - 5) -3x⁵ + 11x⁴ + 33x³ - 26x² - 36x - 6
-(-3x⁵ - 18x⁴ + 9x³ + 15x²) ↓ ↓
29x⁴ + 24x³ - 41x² - 36x ↓
-(29x⁴ - 174x³ - 87x² - 145x ↓
-150x³ + 46x² + 109x - 6
-(-150x³ - 900x²+450x+750)
946x² - 341x - 756
