1. find the least common multiple of x^2 +x -12 and x^2+2x -15
2 answers
The least common multiple of x^2 +x -12 and x^2+2x -15 is x^3 - 27x^2 + 189x - 180.
How ever did you arrive at that answer? Do try to be correct when you weigh in, and maybe show some of your work.
x^2+x-12 = (x+4)(x-3)
x^2+2x-15 = (x-3)(x+5)
so the LCM is (x+4)(x-3)(x+5) = x^3 + 6x^2 - 7x - 60
x^2+x-12 = (x+4)(x-3)
x^2+2x-15 = (x-3)(x+5)
so the LCM is (x+4)(x-3)(x+5) = x^3 + 6x^2 - 7x - 60