How to find zeros of a transfer function

1. How do you find the transfer function of zeros?
2. What do zeros mean in transfer function?
3. Can a transfer function have no zeros?

How do you find the transfer function of zeros?

This is just a constant term (b₀/a₀) multiplied by a ratio of polynomials which can be factored. In this equation the constant k=b₀/a₀. The z_i terms are the zeros of the transfer function; as s→z_i the numerator polynomial goes to zero, so the transfer function also goes to zero.

What do zeros mean in transfer function?

Zeros are defined as the roots of the polynomial of the numerator of a transfer function and. poles are defined as the roots of the denominator of a transfer function.

Can a transfer function have no zeros?

First-Order System

The transfer function has no finite zeros and a single pole located at s=−1τ in the complex plane. The reduced-order model of a DC motor with voltage input and angular velocity output (Example 1.4. 3) is described by the differential equation: τ˙ω(t)+ω(t)=Va(t).