How can the polynomial 6d^4 + 9d^3 – 12d^2 be factored?

Question

anonymous · Answer

here is what it looks like.. 


$$6d ^{4}+ 9d ^{3}-12d ^{2}$$

anonymous · Answer

look for common factors
like how 3 is a factor is 6, 9, and 12
and how d is in each term. 
take the highest common factor out of the polynomial then solve.

anonymous · Answer

but I don't know which one is the  highest common factor.

anonymous · Answer

its not a particular one. soooo what you want to think about is, what is the most i can take out of each one
we can see that 3 is a factor of 6,9,12 so we can take three out of each of them
then looking at the d we see the lowest power of any of them is 2
so we can take d^2 out of each one.
so $$3d^2(2d^2+3d-4)$$

anonymous · Answer

2?

anonymous · Answer

?

anonymous · Answer

is it 2? the most that can be taken out?