Finding Zeros of Rational Functions
To find the zeros of a rational function, factor the numerator and set each factor equal to zero. In each instance, solve for the variable.
Find the zeros of the following rational functions. The numerators for these problems are factored or factor easily:
- \(f(x)=\dfrac{x}{(x-4)(x+4)}\)
- \(f(x)=\dfrac{(x^2-16)(x-2)}{x^2+7x+6}\)
- \(f(x)=\dfrac{x^2+5x+6}{x-3}\)
The solutions are below. Six of the numbers below are the correct solutions to the problems above, but the solutions are not in order of the problems.
\(-4, -3, -2, 0, 2, 3, 4\)
