PLS ANSWER! WILL GIVE BRAINLIEST!
Determine if the given function has any points of discontinuity. Explain your reasoning.

f(x) = (x^2-b^2)/(x-b)

A. There is a point of discontinuity at x = b because the denominator has the factor x – b.
B. There are points of discontinuity at both x = – b and x = b because the numerator has factors of x + b and x – b.
C. There is a point of discontinuity at x = b only because the factor of x – b is common to both the numerator and denominator.
D. There is a point of discontinuity at x = –b only because the factor of x – b is common to both the numerator and denominator and factors out.