Question

Explain why 5x4−6x7+15x4−6x7+1 is considered as a rational function?

Answer 1

A rational function is a function that can be written as the quotient of two polynomials.

You did write:

"5x4−6x7+15x4−6x7+1"

This is not a rational function, but I guess that there is some kind of mistake in what you wrote, as the division sign may be missing.

A rational function would actually be:

$\frac{5*x^4 - 6*x^7}{15*x^4 - 6*x^7 + 1}$

Where this is considered a rational function because we have the quotient of two polynomials:

p(x) = 5*x^4 - 6*x^7

q(x) = 15*x^4 - 6*x + 1

If you want to learn more, you can read:

brainly.com/question/12419178