Answer:
zero: x = 0
discontinuities: x = -5, x = 5
Explanation:
The zeros of the rational function will be found where the numerator is zero. That will happen when x=0.
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There will be discontinuities where the denominator is zero. The denominator is the difference of squares, so factors as ...
x^2 -25 = (x -5)(x +5)
These factors will be zero when x=5 and x=-5.