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Other Examples: A rational function is the ratio of two polynomials P(x) and Q(x) like this. Except that Q(x) cannot be zero (and anywhere that Q(x)=0 is undefined) A root (or zero) is where the expression is equal to zero:
To understand the behavior of a rational function it is very useful to see its polynomials in factored form. The polynomials in the numerator and the denominator of the above function would factor like this: The Domain. Now the roots of the denominator are obviously x = -3 and x = 6.