Write the partial fraction decomposition of \frac{x-3}{x^2+3x-4}.
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The denominator of the rational function is x^2 + 3x - 4. We can factor this quadratic expression by finding two numbers that multiply to -4 and add up to 3. The numbers are 4 and -1. Therefore, we can factor the denominator as (x + 4)(x - 1). Show more…
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