Answer:
Quotient =(3x²-5x-1) and reminder = 1
Step-by-step explanation:
[tex]\frac{9x^3-18x^2+2x+2}{3x-1}[/tex]
3x-1)9x³-18x²+2x+2(3x²-5x-1
9x³-3x²
------------------------
-15x²+2x+2
-15x²+5x
------------------
-3x+2
-3x+1
--------
1
Therefore 9x³-18x²+2x+2=(3x²-5x-1)(3x-1)+1
Quotient =(3x²-5x-1) and reminder = 1
