Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are non-zero elements of P. Which of the following is

true regarding the sum below?

a/b+c/d

A. The sum is a rational expression.

Step-by-step explanation:

The complete questions is:

Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are non-zero elements of P. Which of the following is true regarding the sum below?

a/b+c/d

A) The sum is a rational expression

B) The sum is an integer

C) The sum is a rational number

D) The sum is a polynomial

Solution:

We are given:

a/b + c/d

b and d are non-zero elements:

Therefore:

a/b is a rational number.

c/d is a rational number.

We see that there is an addition sign between the two terms:

So, sum of rational expression is also a rational expression

Thus, The correct option is:

A. The sum is a rational expression.