How is this done when the degree of the numerator is larger than the degree of the denominator?
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Use long division first:
(s^2 + 2)/(s + 1) = (s - 1) + 3/(s + 1).
Note: Are there Laplace Transforms for positive powers of s?
(s^2 + 2)/(s + 1) = (s - 1) + 3/(s + 1).
Note: Are there Laplace Transforms for positive powers of s?