Answer
$9(x + 2)(2x - 1)$
Work Step by Step
To find the least common multiple of two polynomials, we first factor them completely. The least common multiple will be the product of the prime factors of those polynomials expressed to the greatest power present.
Let's start by factoring the two polynomials:
First polynomial:
$9(x + 2)(2x - 1)$ = $3^2(x + 2)(2x - 1)$
Second polynomial:
$3(x + 2)$
The least common multiple will be the product of all the prime factors raised to the greatest power present:
$3^2(x + 2)(2x - 1)$
Simplify by evaluating the exponent:
$9(x + 2)(2x - 1)$
