Find the least common multiple of
x^2 +x-12 and x^2 +2x-15

Question

Find the least common multiple of 
x^2 +x-12 and x^2 +2x-15

cwrw238 · Answer

first factor each trinomial

anonymous · Answer

(x+4)(x-3) and (x+5)(x-3)

anonymous · Answer

Now that we have factored both equations, what are the common factors for both equations? 
(x - 3) is common to both 
So we include it in the LCM 

Next, what are the un-common factors for both equations? 
(x + 4) appears in the first but not in the second 
(x + 5) appears in the second but not in the first 
So we include both in the LCM as multipliers 

Therefore, the LCM for this problem is: 
(x - 3)(x + 4)(x + 5)

anonymous · Answer

Since (x-3) are the same don't they count as being written only once? Like (x+4)(x-3)(x+5)?