Question

3x3 – 12x2 + 27x Factor the polynomial.

Answer 1

$3 x^{3} -12 x^{2} +27x$
$3x( x^{2} -4x+9)$

It cannot be factored further.

Hope that helps.

Answer 2

Answer:

$3x(x^2-4x+9)$

Step-by-step explanation:

$3x^3 - 12x^2 + 27x$

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

$3x^3 - 12x^2 + 27x$

$3x(x^2-4x+9)$

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

$3x(x^2-4x+9)$, we cannot factor further