Answer:
Option C is the answer.
Step-by-step explanation:
The solution to the division problem :
[tex]\frac{2x^{3}-4x^{2}-3x-9}{x-3}[/tex]
= [tex]\frac{2x^{3}-4x^{2}-3x-9}{x-3}[/tex]
= [tex]\frac{(x-3)(2x^{2}+2x+3))}{x-3}[/tex]
[tex]=2x^{2}+2x+3[/tex]
Option C [tex]=2x^{2}+2x+3[/tex] is the answer.
The following attachment shows the solution by long division method.
