Answer:
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.
