The sum, product, or quotient (excepting division by the zero polynomial) of two rational functions is itself a rational function: however, the process of reduction to standard form may inadvertently result in the removal of such discontinuities unless care is taken.
The sum, product, or quotient (excepting division by the zero polynomial) of two rational functions is itself a rational function. The process of reduction to standard form may inadvertently result in the removal of such discontinuities. This is however. Care is taken.