SOLUTION: Find the LCD for the following rational expressions. (-3 / x^2 - 2x + 1) (2x / x^2 - 5x + 4) a)( x - 1) (x - 4) b)(x - 1)^3 (x - 4) c)(x - 1) (x + 4) d)(x - 1)^2 (x -

Algebra ->  Rational-functions -> SOLUTION: Find the LCD for the following rational expressions. (-3 / x^2 - 2x + 1) (2x / x^2 - 5x + 4) a)( x - 1) (x - 4) b)(x - 1)^3 (x - 4) c)(x - 1) (x + 4) d)(x - 1)^2 (x -      Log On


   

Question 319884: Find the LCD for the following rational expressions.
(-3 / x^2 - 2x + 1) (2x / x^2 - 5x + 4)
a)( x - 1) (x - 4)
b)(x - 1)^3 (x - 4)
c)(x - 1) (x + 4)
d)(x - 1)^2 (x - 4)

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
(-3 / x^2 - 2x + 1) (2x / x^2 - 5x + 4)
To find the LCD, you must factor each denominator individually.
x^2 - 2x + 1 factors to be (x - 1)(x - 1) = (x - 1)^2
x^2 - 5x + 4 factors to be (x - 4)(x - 1).
Putting all the different factors together and using the highest exponent, we get the following LCD:
(x - 1)^2 (x - 4)...choice d