Question

How do you factor `-6p ^ { 3} + 9p ^ { 2} - 27p`?

Answer 1

GCF

Explanation:

So your equation is this:
`-6x^3+9x^2-27x`
(I replaced p with x because I like it better)

The first thing you do with this kind of equation is you look for the GCF (greatest common factor), which in this equation is 3x
So your equation now looks like this:
`3x(-2x^2+3x-9)`

Normally you'd look to see if there's any way to factor the polynomial in parentheses, but in this case there's no like terms to reduce it any further.

So `3x(-2x^2+3x-9)` would be your final answer in this scenario :)
(except with p instead of x)