Question

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

Answer 1

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 2

Option D -
`(4x^2+6)+(2x^2+6x+3)=6x^2+6x+9`

Explanation:

Given : Polynomial
`(4x^2+6) + (2x^2+6x+3)`

To find : Which polynomial represents the sum below?

Solution :

Step 1 - Write the polynomial

`(4x^2+6)+(2x^2+6x+3)`

Step 2 - Open the parenthesis,

`=4x^2+6+2x^2+6x+3`

Step 3 - Add like terms,

`=6x^2+6x+9`

Therefore, Option D is correct.

`(4x^2+6)+(2x^2+6x+3)=6x^2+6x+9`