Question

Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are nonzero elements of P.

Which statement about this product must be true?
a/b times c/d


A.
The product is a polynomial.
B.
The product is a rational number.
C.
The product is an integer.
D.
The product is a rational expression.

Answer 1

The correct answer is D. The product is a rational expression.

Explanation:

I got it right on the Plato test.

Answer 2

A. The sum is a rational expression

Explanation:

we are given

2/a+ c/d

we are given that

'b' and 'd' are non-zero values

So,

a/b is a rational number

c/d is a rational number

we can see that both are added

So, sum of rational expression is also a rational expression

so...

A. The sum is a rational expression