Math Assignment Help With Rational Function

Chapter 4 Rational Function

4.1 Introduction: A rational function is a division of two polynomial functions. Or we can say that it is a polynomial divided by another polynomial.

In the case of one variable, x, a rational function is a function of the form

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f(x) = P (x)/ Q(x)

Where P and, Q are polynomial functions in x and Q is not the zero polynomial. The condition for a rational function to exist is that the domain of f  is the set of all points x for which the denominator Q(x) is not zero.


f( x) = x2 + x – 20,

x2 – x -12

The polynomials in the numerator and the denominator of the above function would factor like this:

f(x) = (x + 5) (x – 4),

(x- 4) (x + 3)

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