SOLUTION: Find the LCM of {{{s^2-1}}} and {{{s^2+7s+6}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the LCM of {{{s^2-1}}} and {{{s^2+7s+6}}}      Log On


   

Question 281675: Find the LCM of s%5E2-1 and s%5E2%2B7s%2B6
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Find the LCM of
s%5E2-1 and s%5E2%2B7s%2B6

Factor them both:

%28s-1%29%28s%2B1%29 and %28s%2B1%29%28s%2B6%29

%28s-1%29 appears one time in %28s-1%29%28s%2B1%29 and one time in %28s%2B1%29%28s%2B6%29,

so %28s-1%29 must appear one time in the LCD.

%28s%2B1%29 appears one time in %28s-1%29%28s%2B1%29 and no times in %28s%2B1%29%28s%2B6%29,

so %28s%2B1%29 must appear one time in the LCD.

%28s%2B6%29 appears no times in %28s-1%29%28s%2B1%29 and one time in %28s%2B1%29%28s%2B6%29,

so %28s%2B6%29 must appear one time in the LCD.

So the LCD is %28s-1%29%28s%2B1%29%28s%2B6%29

Edwin