Answer :

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.

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Rewritten by : Barada

The answer is choice C