SOLUTION: What is the LCM of rational expressions {{{x^2+9x+14}}}, {{{x^2+3x+2}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the LCM of rational expressions {{{x^2+9x+14}}}, {{{x^2+3x+2}}}      Log On


   

Question 84025: What is the LCM of rational expressions x%5E2%2B9x%2B14, x%5E2%2B3x%2B2
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

What is the LCM of rational expressions:

x² + 9x + 14, x² + 3x + 2

Factor them both:

  (x+7)(x+2),  (x+2)(x+1)

The LCM must contain each factor or each
expression as many times as it appears in
any ONE expression.  Therefore you don't
need to have (x+2) twice because it only 
appears one time in each expression.

LCM = (x+7)(x+2)(x+1)

Edwin