Given:
The two models for the two polynomials.
To find:
The sum of the given polynomials.
Solution:
From the given figure, it clear that
[tex]\text{First polynomial}=a^2+a+2[/tex]
[tex]\text{Second polynomial}=-a-1[/tex]
Adding both polynomials, we get
[tex]Sum=a^2+a+2+(-a-1)[/tex]
[tex]Sum=a^2+a+2-a-1[/tex]
[tex]Sum=a^2+1[/tex]
Therefore, the correct option is A.
