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Factored Form
By the fundamental theorem of algebra, every
th order polynomial
can be factored into a product of
firstorder polynomials.
Therefore, Eq.(6.5) above can be written in
factored form as

(7.6) 
The numerator roots
are called the zeros
of the transfer function, and the denominator roots
are called the poles of the filter. Poles and zeros are
discussed further in Chapter 8.
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