Factor. 3n4+21n3+27n2

To factor out the expression we look for number which is divisible by every term in our case it is 3n^2:

3n^4+21n^3+27n^2

we first begin by factoring out 3n^2, this will give us;

3n^2 (n^2+7n+9)

hence, since we cannot factorize the quadratic expression the answer remains to be:

3n^2 (n^2+7n+9)