Question

Help me create a rational expression, I am allowed to choose from the list below, but there must be a variable in the numerator and a denominator.
-(5x)
-(2x)
-(x+4)
-(x-5)
-(2x+1)
-(3x+5)

Answer 1

Unless I've read this question incorrectly, there are a great many possible "answers." Defining a "rational function" as the ratio of two polynomial functions, and choosing any two of the given polynomials, we might end up with

-(2x)/[-(3x+5)]. Here both numerator and denominator include a variable.
This could be simplified to 2x/(3x+5).

Answer 2

Thank you but those - next to the options arent apart of the equation they were options. so it would be (2x)/(3x-5)?

Answer 3

@mathmale

Answer 4

@phi @ganeshie8 help me please, is (2x)/(3x-5) a good rational expression?

Answer 5

It surely is a "good rational expression." You have a "polynomial" in the numerator and another in the denominator, and you've cancelled out the (-) which appeared in both the numerator and the denominator.

Answer 6

In other words, you're allowed to cancel out the (-) in numerator and denominator to obtain the simpler, nicer 2x/(3x-5).