help i dont know how to factor this quadratic expression

Question

anonymous · Answer

$$3b ^{3 }-5b ^{2}+ 2b$$

anonymous · Answer

First factor out the the greatest common factor. In this case it is b. Post your result

anonymous · Answer

im still confused the 3b^3 blows me of

anonymous · Answer

it "blows you off" huh? What does each term have in common. You want to check this first. They all have a b. So we will go ahead and factor that out first.

$$b(3b^2-5b+2)$$

anonymous · Answer

But we are not done yet. We have to factor what is in the ( ) next

anonymous · Answer

From experience I know that whenever I see the "-" then "+" pattern I know the factor is going to have the form (   -   )(   -   ). The only way to get the first term is to have a 3b and a b so lets go ahead and put that in.

(3b -   )(b -   )

anonymous · Answer

i think i got it

anonymous · Answer

Now we need to think about how to get the last two terms. First we need to find the factors of 2. That is simple, its just 1 and 2. So we know that they go in the empty spots, but where?

We need to think how they can add to get -5. 3*-1 + -2 is -5 perfect.

b(3b - 2)(b - 1)

don't forget the b that we have out in front

anonymous · Answer

Thnx for the help very much  showing me what to do with ^3 helped alot with other expression that i wasn't sure about