Question

Which polynomial does this sum of tiles represent?A

Answer 1

Answer:

The polynomial result sum is $2x^{2} +4x+6$

Step-by-step 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: $x^{2} +x+x+1+1+1+1=x^{2} +2x+4$

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

$x^{2} +2x+2+x^{2} +2x+4=2x^{2} +4x+6$

So the sum of the polynomial equations is: $2x^{2} +4x+6$

Answer 2

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.