Find the LCM of the following :

Question

1)m^2 - 7m + 12 and m^3 - 2m^2 - 2m -3

2) (r - 1) ^3 and r^4 + r^2 +1 and r^3 - 1

3) 3(p^3 - 1) and (4p^2 - 1 ) and 6(2p^2 + 3p - 2 )

Answer 1

m^2-7m+12 = (m-3)(m-4)
m^3-2m^2-2m-3 = (m-3)(m^2+m+1)
so, LCM = (m-3)(m-4)(m^2+m+1)

Now try the others. What do you get?

Answer 2

can you show the process. how you got
m^3-2m^2-2m-3 = (m-3)(m^2+m+1) . pls

Answer 3

just a little synthetic division trying to find a root. Cubics are not always easy to factor by inspection.

Answer 4

can you show the process pls.