Explain why every polynomial is also a rational expression?

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Answer 1 · 2017-06-02T23:05:53

A polynomial $f (x)$ $f(x)$ is equivalent to the rational expression $\frac{f (x)}{1}$ $f(x)/1$

The expression:

$1$ $1$

is a polynomial of degree $0$ $0$

So for any polynomial $f (x)$ $f(x)$ , the expression:

$\frac{f (x)}{1}$ $f(x)/1$

is a rational expression, being a division of one polynomial by another.

But $\frac{f (x)}{1}$ $f(x)/1$ is just another way of writing our polynomial $f (x)$ $f(x)$ .