Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? A. f(x) and g(x) are not closed under addition because when added, the result will be a polynomial. B. f(x) and g(x) are not closed under addition because when added, the result will not be a polynomial. C. f(x) and g(x) are closed under addition because when added, the result will not be a polynomial. D. f(x) and g(x) are closed under addition because when added, the result will be a polynomial.

Respuesta :

The f(x) and g(x) are closed under addition because when added, the result will be a polynomial , Option D is the correct answer.

The missing polynomial are attached as an image in the answer.

What is a Closure Property ?

The closure Property states that , when an addition or any other property is said to be closed , it means the output will be same as the type of input.

When the polynomial given in the question is added the resulting output will always be a polynomial , therefore

The f(x) and g(x) are closed under addition because when added, the result will be a polynomial , Option D is the correct answer.

To know more about Closure Property

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