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which polynomial represents the sum below? (4x^2+6) + (2x^2+6x+3)

A. 6x^2+ 6x+18

B. 8x^2 + 6x+18

C. 8x^2 + 6x+9

D. 6x^2 + 6x+9

Respuesta :

akephd
D. Add like terms.
So 4x^2+2x^2=6x^2
6x is only x term
6+3=9

So D. 6x^2+6x+9

Answer:

Option D -  [tex](4x^2+6)+(2x^2+6x+3)=6x^2+6x+9[/tex]

Step-by-step explanation:

Given : Polynomial [tex](4x^2+6) + (2x^2+6x+3)[/tex]

To find : Which polynomial represents the sum below?

Solution :

Step 1 - Write the polynomial

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

Step 2 - Open the parenthesis,

[tex]=4x^2+6+2x^2+6x+3[/tex]

Step 3 - Add like terms,

[tex]=6x^2+6x+9[/tex]

Therefore, Option D is correct.

[tex](4x^2+6)+(2x^2+6x+3)=6x^2+6x+9[/tex]

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