Question

What is the sum of the two polynomials?

Answer 1

Given:

The two models for the two polynomials.

To find:

The sum of the given polynomials.

Solution:

From the given figure, it clear that

`\text{First polynomial}=a^2+a+2`

`\text{Second polynomial}=-a-1`

Adding both polynomials, we get

`Sum=a^2+a+2+(-a-1)`

`Sum=a^2+a+2-a-1`

`Sum=a^2+1`

Therefore, the correct option is A.