Question

7. Which property of polynomials says that the sum of two polynomials is also a polynomial?

Answer 1

Closure property

Explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

`{x}^(2) + 2`

is a polynomial.

`x - 2`

is also a polynomial.

The sum of the two polynomials is

`{x}^(2) + 2 + x - 2 = {x}^(2) + x`

The result:

`{x}^(2) + x`

is also a polynomial.