The conversation between human and AI assistant.
How can you find the LCM of a polynomial?
That sounds easy enough. Can you give me an example?
Sure! Let's say we want to find the LCM of (x^2 + 3x + 2) and (x^2 + 5x + 6). First, we factor each polynomial: (x+1)(x+2) and (x+3)(x+2). Then, we take the factors that occur the most times in both polynomials: (x+1), (x+2), and (x+3). Finally, we multiply these factors together to get the LCM: (x+1)(x+2)(x+3).