Factored form vs partial fraction form?

I have already understood partial fraction and here is link for my relevant DSP SE question

Finding inverse z transform for two sided ROC?

But now i want to know, is there any difference between partial fraction form and factored form in signal processing context?

For example I have a z transform $$Y(z)=\frac{(z^2−z)}{(z^2+1.3z+0.3)}$$

a)What will be its partial fraction form?

b)What will be its factored form?

• Homework? Factoring a polynomial is basic algebra; you should have hit partial fraction expansion in calculus class. These are both pretty basic operations in signal processing analysis and design. Commented Mar 10, 2020 at 22:55
• @TimWescott no,it is not home work Commented Mar 11, 2020 at 7:29
• b) just factor the numerator and denominator polynomials. Commented Mar 12, 2020 at 15:22
• a) after factoring, express the factored form of $Y(z)$ as the sum of partial fractions. you had to learn about that in calculus when you were integrating rational functions that look sorta like $Y(z)$. Commented Mar 12, 2020 at 15:23

• You have calculated the partial fraction term in your provided link. It helps to solve the inverse transform but it does not directly provide the zeros or poles. For the factored form, Y(z) = $$Y(z)=\frac{(z(z-1))}{(z+1)(z+0.3))}$$ The roots of numerator and denominator gives zeros and poles Commented Mar 11, 2020 at 8:09