SOLUTION: FIND THE LEAST COMMON MULTIPLE OF EACH PAIR OF POLYNOMIALS :) Steps shown, please. Thank you very kindly. #1) x^2 - 16 and 5x + 20 #2) 7(x-2)(x+5) and 2(x+5)^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: FIND THE LEAST COMMON MULTIPLE OF EACH PAIR OF POLYNOMIALS :) Steps shown, please. Thank you very kindly. #1) x^2 - 16 and 5x + 20 #2) 7(x-2)(x+5) and 2(x+5)^2      Log On


   

Question 272771: FIND THE LEAST COMMON MULTIPLE OF EACH PAIR OF POLYNOMIALS :)
Steps shown, please. Thank you very kindly.
#1)
x^2 - 16 and 5x + 20

#2)
7(x-2)(x+5) and 2(x+5)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll give you an idea on how to do these. Let me know if this helps.

To find the LCM, first find the GCF (greatest common factor) between the two polynomials. Once you have the GCF, multiply the two polynomials together and then divide by the GCF. That result will be the LCM.

Example: To find the LCM of x%2B1 and x%2B2, take note that the GCF is 1 (ie they have no common factor). So the LCM is %28%28x%2B1%29%28x%2B2%29%29%2F1=%28x%2B1%29%28x%2B2%29=x%5E2%2B3x%2B2