The zeros arising from repeated factors of a polynomial function are called repeated zeros.
f(x) = x2 – 6x + 9
Set f(x) to zero, factor and solve.
0 = (x – 3)(x – 3)
x = 3 or x = 3
Since x – 3 appears twice as a factor, 3 appears twice as a zero of the function and is called a repeated zero of the function.