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AMC 12/AHSME
1966 AMC 12/AHSME
7
Partial Fraction Decomposition
Partial Fraction Decomposition
Source:
March 9, 2006
Problem Statement
Let
35
x
−
29
x
2
−
3
x
+
2
=
N
1
x
−
1
+
N
2
x
−
2
\frac{35x-29}{x^2-3x+2}=\frac{N_1}{x-1}+\frac{N_2}{x-2}
x
2
−
3
x
+
2
35
x
−
29
=
x
−
1
N
1
+
x
−
2
N
2
be an identity in
x
x
x
. The numerical value of
N
1
N
2
N_1N_2
N
1
N
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
(A)
−
246
(B)
−
210
(C)
−
29
(D)
210
(E)
246
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