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Which polynomial represents the sum below? (3x2 + 3) + (3x2 + x + 4)
A. 9x2 + x + 7
B. 6x2 + x + 12
C. 6x2 + x + 7
D. 9x2 + x + 12

Respuesta :

MarkV
Hi there! The answer is C.

[tex](3 {x}^{2} + 3 ) + (3 {x}^{2} + x+ 4) = [/tex]
First we work out the parenthesis, which is easy, because we can just remove them.

[tex]3 {x}^{2} + 3 + 3 {x}^{2} + x + 4 = [/tex]
Now rearrange our expression (in order to collect the terms later).

[tex]3 {x}^{2} + 3 {x}^{2} + x + 3 + 4 = [/tex]
Now we can collect the terms.

[tex]6 {x}^{2} + x + 7[/tex]
The answer is C.

~ Hope this helps you!
Cetacea

Option C is right.

To find the sum we will expand the brackets and then combine the like terms.

The sum of [tex](3x^2 + 3) + (3x^2 + x + 4)[/tex] is:

[tex](3x^2 + 3) + (3x^2 + x + 4)\\=3x^2+3+3x^2+x+4\\=3x^2+3x^2+x+3+4\\=6x^2+x+7[/tex]

So, option C is right.

Learn more:  https://brainly.com/question/13769924

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