Question

Consider the rational expression 2x+3x2+2x+3 . Which statements are true about the rational expression? Select each correct answer.

The numerator has two terms.
The denominator has three factors.
The denominator has three terms.
2x + 3 is a single factor in the numerator.
2x + 3 in the numerator divides out with 2x + 3 in the denominator.

Answer 1

We are given rational expression:
`(2x+3)/(x^2+2x+3)`.

We can see that we have two terms in numerator ( on the top) 2x, 3 and three terms in denominator ( in the bottom) x^2, 2x and 3.

Therefore, following are the correct statements about the given rational expression:

The numerator has two terms.

The denominator has three terms.

2x + 3 is a single factor in the numerator.