Question

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

Answer 1

here is what it looks like..


\[6d ^{4}+ 9d ^{3}-12d ^{2}\]

Answer 2

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.

Answer 3

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

Answer 4

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 \[3d^2(2d^2+3d-4)\]

Answer 5

2?

Answer 6

?

Answer 7

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