Answer:
Quotient = -x² -3x +2.
Step-by-step explanation:
Given :  quantity of 3 times x to the 3rd power plus 9 times x to the 2nd power minus 6 times x all over negative 3 times x.
To find : Find the quotient.
Solution : We have given that statement 
3 times x to the 3rd power  = 3x³.
9 times x to the 2nd power =9x²
6 times x = 6x
3x³ +9x²-6x over -3x.
On dividing 3x³ +9x²-6x  by -3x
 .
On cancel out the like numertor and denominator.
Quotient = -x² -3x +2
Therefore, Quotient = -x² -3x +2.