solve( -18x^3+17x+6)/(3x+2)
Minecraft.
so, do you know how to set this up? What have you tried so far?
So far I have tried FOIL and come up with a completely bizarre answer that isn't one of the answers.
ohk, so, this is called polynomial division or uhm, it has another name I forget at the moment
we set it up like long division from when we were little
so we have to use draw to make this look pretty so give me a moment to set it up, then it's pretty self explanitory
|dw:1428850791617:dw|
so now, we ask ourselves, what would I have to multiply 3x by to make it 18x^3?
can you tell me?
I believe it is 44?
44*3x=18x^3?
well when squared and then rooted yes.
that's a long division, we don't square and root, just multiply to make them equal
like literally (___)*3x=18x^3, fill in the blank
I squared like this: 18x * 18x * 18x Then I divided by 3x and rooted the answer...
6x^2?
sorry if I wasn't clear, here this video will explain the process https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-division
yes 6x^2 was what I was fishing for
so now, we multiply (3x+1)(6x^2) then we subtract like long division it will look like this...
|dw:1428851284090:dw| that's a plus
30x^5?
where did you get that?
Wait I see where this is going...
ok, now you see? It is just long division but your doing polynomials instead
6x^2+4x-3?
where did you get the 6x^2 from? and the 4x and the 3?
|dw:1428851522437:dw|
Division of powers and FOIL combined made the answer
noo, forget those for the moment
you don't use foil
nnor combine exponents, just adding and subtracting here
you're overthinking this
Oh I hate overthinking... have devious plans in mind for myself when I do that... >:)
uhm, ok, but anyways, o yourself a favor, watch the khanacademy video maybe two or 3 of them, then come back. It will make a heck of a lot more sense
kk thx for the reference :)
np, but seriously, watch it, then you'll be like ahhhhhhhhhhh I was over complicating it (I did the same thing when I learned this the first time, it made no sense till khan)
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