SOLUTION: <pre>I need help finding the LCM for: 2x² + 5x + 2, 2x² - x - 1</pre>

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Question 38849This question is from textbook Elementary Algebra
: 
I need help finding the LCM for:

2x² + 5x + 2, 2x² - x - 1
 This question is from textbook Elementary Algebra

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
I need help finding the LCM for:

2x² + 5x + 2,2x² - x - 1

Factor them both

(x + 2)(2x + 1), (2x + 1)(x - 1)

To find the LCM

1. Write the first expression

   (x + 2)(2x + 1)

2. Look at the next expression and ask yourself:
   Does the second expression contain any factor
   which does not appear in what you just wrote down? 
   If the answer is yes, then tack it on.

   In this case, the expression (x - 1) is not
   included, so we tack that on and get

   (x + 2)(3x + 1)(x - 1)

3. If there are more than 2 expressions repeat
   step 2.

   There are no more expresions, so the answer is

   LCM = (x + 2)(3x + 1)(x - 1)

Edwin
AnlytcPhil@aol.com
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