Are all polynomials rational functions? Are all algebraic functions polynomials?

amanf 2020-11-06 Answered
Are all polynomials rational functions? Are all algebraic functions polynomials?
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Expert Answer

Tasneem Almond
Answered 2020-11-07 Author has 91 answers

It is known that all polynomials are not rational functions.
Example:
Consider the function f(x)=π. This, function is a polynomial but it cannot be written in the form of a rational function.
Hence, all polynomials are not rational functions.
Step 2
No, not all algebraic functions are polynomials.
If an algebraic expression has a radical, then it cannot be a polynomial.

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