Question

find the least common multiple of the following polynomials
9(x+2)
(2x-1)
and 3(x+2)

Answer 1

To find the least common multiple (LCM) of these polynomials, we'll first look at the factors of each polynomial.

9(x+2) = 3^2 * (x+2)
(2x-1) = 1 * (2x-1)
3(x+2) = 3 * (x+2)

Now, we look for the highest power of each factor present in any of the polynomials.

The highest power of 3 is 3^2.
The highest power of (x+2) is (x+2).
The highest power of (2x-1) is (2x-1).

Finally, we multiply these factors together to find the LCM.

LCM = 3^2 * (x+2) * (2x-1)
LCM = 9(x+2)(2x-1)