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Verified Answer :

syed514

Your answer should be B if you put all the common parts together you will find you can not simplify the equation any longer.

Answer:  the correct option is (B) \(-2x^3+6x^2+6x+9.\)

Step-by-step explanation:  We are given to select the correct polynomial that represents the following sum :

\(S=(-2x^3+4x^2+6)+(2x^2+6x+3).\)

To find the above sum, we need to add the coefficients of the similar powers of x.

The summation is as follows :

\(S\\\\=(-2x^3+4x^2+6)+(2x^2+6x+3)\\\\=-2x^3+4x^2+6+2x^2+6x+3\\\\=-2x^3+(4+2)x^2+6x+6+3\\\\=-2x^3+6x^2+6x+9.\)

Thus, the required sum is \(-2x^3+6x^2+6x+9.\)

Option (B) is CORRECT.