Is the function in f(x)=x/29+2/x a rational function? If so,

feminizmiki

feminizmiki

Answered question

2022-01-17

Is the function in f(x)=x/29+2/x a rational function? If so, write it in the form p(x)/q(x), the ratio of polynomials, where p(x) has leading coefficient 1, and p(x) and q(x) share no common factors.

Answer & Explanation

Donald Cheek

Donald Cheek

Beginner2022-01-18Added 41 answers

Step 1
Given function is,
f(x)=x29+2x
Step 2
Any function that can be written in the form,
p(x)q(x),q(x)0 is called as rational function.
Step 3
Consider,
f(x)=x29+2x
Step 4
The LCM of the denominator is 29x.
f(x)=x229x+5829x
f(x)=x2+5829x
Step 5
Hence, the given function is rational.
p(x)=x2+58
q(x)=29x
Step 6
Where leading coefficient of p(x) is 1 and of q(x) is 29 and p(x) and q(x) has no common factors.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?