Factor the polynomial.
3x^3-12x^2+27x
To factor the polynomial 3x^3 - 12x^2 + 27x, we can first factor out the greatest common factor, which is 3x:
3x(x^2 - 4x + 9)
Next, we need to factor the quadratic expression x^2 - 4x + 9. This can be factored as:
(x - 3)(x - 3)
So, the factored form of the polynomial is:
3x(x - 3)(x - 3)