Partial Fractions
Source:
February 14, 2009
Problem Statement
The fraction \frac {5x \minus{} 11}{2x^2 \plus{} x \minus{} 6} was obtained by adding the two fractions \frac {A}{x \plus{} 2} and \frac {B}{2x \minus{} 3}. The values of and must be, respectively:
(A)\ 5x, \minus{} 11 \qquad(B)\ \minus{} 11,5x \qquad(C)\ \minus{} 1,3 \qquad(D)\ 3, \minus{} 1 \qquad(E)\ 5, \minus{} 11