Answer:
[tex]3x(x^2-4x+9)[/tex]
Step-by-step explanation:
[tex]3x^3 - 12x^2 + 27x[/tex]
GCF is 3x because all terms having x with lowest exponent x
All the coefficents are divisible by 3
So GCF is 3x. To factor out GCF , divide each term by 3x
[tex]3x^3 - 12x^2 + 27x[/tex]
[tex]3x(x^2-4x+9)[/tex]
Now find out two factors whose product is 9 and sum is -4
3 times 3 is 9
There are no factors that gives us product 9 and add upto -4
So x^2-4x+9 is prime
[tex]3x(x^2-4x+9)[/tex], we cannot factor further
