SOLUTION: Hi there, I have a question about solving for the LCM (Least common multiple) of two polynomials such as 2x^2-18 and 5x^3+30x^2+45x . I have broken them down to 2(x-3)(x+3) and 5x(

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi there, I have a question about solving for the LCM (Least common multiple) of two polynomials such as 2x^2-18 and 5x^3+30x^2+45x . I have broken them down to 2(x-3)(x+3) and 5x(      Log On


   

Question 871433: Hi there, I have a question about solving for the LCM (Least common multiple) of two polynomials such as 2x^2-18 and 5x^3+30x^2+45x . I have broken them down to 2(x-3)(x+3) and 5x(x+3)(x+3). I'm just not sure what to do next. Thanks so much for taking a look.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
If each factor were a prime number, you would know what to do?
SAME THING!

List of your factors__________Multiplicity in each denominator
2_____________________________1
5_____________________________1
x_____________________________1
x-3___________________________1
x+3___________________________2

You said, LCM; but this would be like looking for common denominators, as if your two polynomials are actually occurring as denominators for some other equation or expression.

LCMultiple is 2%2A5%2Ax%2A%28x-3%29%28x%2B3%29%5E2.