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Exercise

$\frac{\left(z^2+3z\right)\left(z-4\right)}{\left(z-4\right)\left(z-e^{-at}\right)}$

Step-by-step Solution

1

Simplify the fraction $\frac{\left(z^2+3z\right)\left(z-4\right)}{\left(z-4\right)\left(z-e^{-at}\right)}$ by $z-4$

$\frac{z^2+3z}{z-e^{-at}}$

Final answer to the exercise

$\frac{z^2+3z}{z-e^{-at}}$

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Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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