Question

Factor Completely 6n^3+54n^2+48n

Answer 1

First factor out the greatest common factor 6n:

6n^3 + 54n^2 + 48n = 6n(n^2 + 9n + 8).

Then factor the quadratic:

n^2 + 9n + 8 = (n + 1)(n + 8).

So the complete factorization is:

6n(n + 1)(n + 8).