Word Count : 344

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To solve this numerically, let's find the inverse Laplace transform of the given function: \[ F(x) = \frac{x+1}{x^3 + x^2 - 6x} \] ### Step 1: Factor the denominator We begin by factoring the denominator. \[ x^3 + x^2 - 6x = x(x^2 + x - 6) \] Now, factor the quadratic term \(x^2 + x - ___ _________ ______ ___ _________ _________.
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