Problem: Let x2−3x+235x−29=x−1N1+x−2N2 be an identity in x. The numerical value of N1 N2 is:
Answer Choices:
A. −246
B. −210
C. −29
D. 210
E. 246
Solution:
35x−29≡N1(x−2)+N2(x−1) is an identity in x. Letting x=1 we find N1=−6 and letting x=2 we find N2=41.∴N1N2=−246