Which polynomial represents the sum below? (-2x^3 + 4x^2 + 6) + (2x^2 + 6x + 3) A. -x^6 + 6x^2 + 12x + 9 B. -2x^3 + 6x^2 + 6x + 9 C. -2x^5 + 10x^2 + 6x + 9 D. -2x^3 + 6x + 9 ...…

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asked Oct 2, 2017 113k views

2 Answers

Bawa · Answer 1 · 2017-10-04T22:29:34+0000

Answer: the correct option is (B)

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

Option (B) is CORRECT.

Praethorian · Answer 2 · 2017-10-08T10:16:40+0000

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