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Repeated Zeros

The zeros arising from repeated factors of a polynomial function are called repeated zeros .

Example:

$f (x) = x^{2} - 6 x + 9$

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.

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