Middle School

What is the solution to the division problem below? (You can use long division or synthetic division.)

What is the solution to the division problem below You can use long division or synthetic division

Answer :

The answer is choice C

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.