The discussion focuses on factoring the polynomial denominator 2s^3 + 3s^2 - 3s - 2 for the purpose of performing partial fraction decomposition in the context of Laplace transforms. A key solution method mentioned is the identification of s = 1 as a root, which allows for further simplification using Horner's method or Euclidean division. This approach is essential for solving differential equations using Laplace transforms effectively.
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Robb said:Homework Statement
I am trying to factor a denominator so I can do a partial fraction decomposition to solve using a Laplace transform.
denominator= 2s^3+3s^2-3s-2
Homework Equations
The Attempt at a Solution