Find the least common multiple
v^3 + 6v^2 +9v, v^2 -6v
answer
6v
is this correct?
If they are two separate terms, both have v as a factor rather than 6v.
v^3 + 6v^2 +9v = v(v^2 + 6v + 9) = v(v + 3)(v + 3)
v^2 - 6v = v(v - 6)
I hope this helps. Thanks for asking.
To find the least common multiple (LCM) of two or more polynomials, we need to factor each polynomial completely and then find the product of the highest powers of all the common prime factors.
Let's factor the given polynomials:
v^3 + 6v^2 + 9v = v(v^2 + 6v + 9) = v(v + 3)^2
v^2 - 6v = v(v - 6)
To find the LCM, we need to consider the highest powers of the common prime factors: v(v + 3)^2(v - 6)
Therefore, the LCM of v^3 + 6v^2 + 9v and v^2 - 6v is v(v + 3)^2(v - 6).
So, the given answer, 6v, is incorrect.