Answer:
The answer to your question is  -3x² + 29x -150
Explanation:
  -3x² + 29x -150
 x³ + 6x² - 3x - 5 -3x⁵ + 11x⁴ + 33x³ - 26x² - 36x - 6
 +3x⁵ +18x⁴ - 9x³ - 15x²
 0  29x⁴ +24x³ - 41x² - 36x
 -29x⁴ - 174x³ +87x²+145x
 0 -150x³ +46x² +109x - 6
 +150x³ +900x²-450x -750
 0 946x² -341x -756
Quotient =  -3x² + 29x -150
Remainder = 946x² -341x -756