MathDB
Partial Fraction Decomposition

Source:

March 9, 2006

Problem Statement

Let 35x29x23x+2=N1x1+N2x2\frac{35x-29}{x^2-3x+2}=\frac{N_1}{x-1}+\frac{N_2}{x-2} be an identity in xx. The numerical value of N1N2N_1N_2 is: (A) 246(B) 210(C) 29(D) 210(E) 246\text{(A)} \ -246 \qquad \text{(B)} \ -210 \qquad \text{(C)} \ -29 \qquad \text{(D)} \ 210 \qquad \text{(E)} \ 246