Question

Which polynomial represents the sum below?

(3x² + 3) + (3x² + x + 4)
OA. 9x²+x+12
OB. 6x²+x+7
OC. 6x²+x+12
OO
D. 9x²+x+7

Answer 1

Hi there! The answer is C.

(3 {x}^{2} + 3 ) + (3 {x}^{2} + x+ 4) =(3x

2

+3)+(3x

2

+x+4)=

First we work out the parenthesis, which is easy, because we can just remove them.

3 {x}^{2} + 3 + 3 {x}^{2} + x + 4 =3x

2

+3+3x

2

+x+4=

Now rearrange our expression (in order to collect the terms later).

3 {x}^{2} + 3 {x}^{2} + x + 3 + 4 =3x

2

+3x

2

+x+3+4=

Now we can collect the terms.

6 {x}^{2} + x + 76x

2

+x+7

The answer is C.

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Explanation:

this is your correct answer