Question

What is 3g^2 - 16gh -12h^2 in factored form? PLEASE HELP ME

Answer 1

First, just look at the variables. g^2 = g*g, and h^2 = h*h
From the first and last steps of FOIL, where would g and h go in the two binomials that this will factor into?

Answer 2

i have no idea -__-

Answer 3

When you use FOIL, this is how it works:
(a + b)(c + d) =
ac + ad + bc + bd
Look at the first term in the result, ac. It comes from multiplying the two first terms together.
In your problem you have 3g^2, as your first term.
3g^2 comes from multiplying together 3g and g.
That means the first step to factoring this is
(3g )(g )

Answer 4

The last term of your question is -12h^2.
That comes from multiplying two terms with h in them.
You'll get something like this:
(3g h)(g h)
Now you need to figure out what factors with h will multiply to -12h^2

Answer 5

yea ik that but where does the -16gh come into play??

Answer 6

That comes from multiplying the two terms OI in FOIL.

Answer 7

To get -12h^, there are several possibilities:
-12 = -12 * 1
-12 = -1 * 12
-12 = -3 * 4
-12 = -4 * 3
-12 = -2 * 6
-12 = -6 * 2
There are many combinations of numbers that will give you a product of -12 as shown above, but you need to choose the correct one for this problem.

Answer 8

Let's say you choose -4 and 3. Then you'd have
(3g - 4h)(g + 3h) Now foil it and see if you get your original problem.
(3g - 4h)(g + 3h) = 3g^2 + 9gh - 4gh - 12h^2 = 3g^2 + 5gh - 12h^2
Since we get a middle term of -5gh and the problem has a middle term of -16gh, our guess didn't work.

Answer 9

Let's try -6 and 2
(3g + 2h)(g - 6h) = 3g^2 - 18gh + 2gh - 12h^2 = 3g^2 - 16gh - 12h^2
Which is the problem you started with so this is the answer:.
(3g + 2h)(g - 6h)

Answer 10

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