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

Solution:

Given polynomial is

9(x + 2)(2x - 1) and 3(x + 2)

The first product is 9(x + 2)(2x - 1) and each term in this is its factors

So, it can be written as 3(x + 2)3(2x - 1)

Similarly, 3 and x + 2 are factors of 3(x + 2)

The next multiples will be 6(x + 2) and 9(x + 2) etc

When 3(x + 2) is multiplied 3(2x - 1) times, then they get a common multiple

Common multiple is 3(x + 2)3(2x - 1)

Therefore, the least common multiple is 9(x + 2)(2x - 1)

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

Summary:

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