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

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

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