Question

Which polynomial does this sum of tiles represent?A

Answer 1

The first one is basically x^2 + 2x + 2
The second is x^2 + 2x + 4
If you added those both up, you'd get 2x^2 + 4x + 6 so your answer would be A.

Answer 2

The polynomial result sum is
`2x^(2) +4x+6`

Explanation:

To calculate the sum of the polynomial expressions first we have to write individually each one and sum the terms of it:

Fisrt one:
`x^(2) + x + x+ 1 + 1 = x^(2) +2x+2`

Second one:
`x^(2) +x+x+1+1+1+1=<strong>x^(2) +2x+4</strong>`

Now having both equations in simplified form we can sum them:

`x^(2) +2x+2+<strong>x^(2) +2x+4</strong>=2x^(2) +4x+6`

So the sum of the polynomial equations is:
`2x^(2) +4x+6`