Michigan State University - Diagnostic Exam

4.18

  •   If x ⁄=  - 2, 1, or 2  which is equivalent to   2
(x----1)(x-+-2-)
(x2 - 4)(x - 1 )  ?

    a) 1-
2  b) x3 - 2x2 + x-- 1-
           4   2  c) (x---1-)(x-+-2)
   (x - 2 )2
       
    d) x-+-2-
x -  4  e) x +-1-
x - 2

Solution:

   (x-+-1)(x---1)(x-+-2)
=  (x + 2)(x - 2)(x - 1)

=  x-+-1-
   x - 2

Diagnostic:

If you miss this question please review simplifying rational expressions.

Also, see 1.7: Factoring .


July 15, 2008