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Explain why every polynomial is also a rational expression?

Answer 1

Savannah Anderson

A polynomial #f(x)# is equivalent to the rational expression #f(x)/1#

The expression:

#1#

is a polynomial of degree #0#

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

#f(x)/1#

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

But #f(x)/1# is just another way of writing our polynomial #f(x)#.

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Answer 2

Eli Assouline

Every polynomial is also a rational expression because a polynomial can be expressed as the ratio of two polynomials. A rational expression is defined as the quotient of two polynomials, where the denominator is not equal to zero. Since a polynomial can always be written as a fraction with a polynomial numerator and a constant denominator of 1, it meets the criteria of a rational expression.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.