The Method of Partial Fractions

1. The bottom polynomial can be factored, so we obtain the setup:

Multiplying by (x-4)(x+3) on both sides yields

Write the polynomial on the right in standard form:

Now we compare the coefficients of both polynomials and obtain the following system of linear equations:

Solving this system yields B=-2 and A=3.

Thus we have completed our problem:

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