Question

Factor the expression 6p^3-12p^2+9p

Answer 1

`3p(2p^2-4p+3)`

Explanation:

Given polynomial:

`6p^3-12p^2+9p`

To factor out the polynomial completely.

Solution:

Factoring the given polynomial by first factoring the GCF.

The GCF can be found by listing the factors of each term.

`6p^3=2* 3* p* p* p`

`-12p^2=-1* 2* 2* 3* p* p`

`9p=3* 3* p`

Thus , the GCF of the terms is =
`3p`

Factoring
`3p` from each term.

`3p(2p^2-4p+3)` (Answer)

The above expression cannot be factored any further.