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RhondaSommer (rhondasommer):
\[48x^4-6x^3-32x+4\]
OpenStudy (joshoyen):
Hm, I don't know. :/
RhondaSommer (rhondasommer):
one sec and ill explain how to
OpenStudy (joshoyen):
Aight
RhondaSommer (rhondasommer):
What is the largest number that divides evenly into \[48x^4\]\[−6x^3\]\[−32x\] and \[44\]?
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OpenStudy (joshoyen):
2
RhondaSommer (rhondasommer):
yup
RhondaSommer (rhondasommer):
so your greatest common factor is 2
RhondaSommer (rhondasommer):
now you are going to divide each term by 2
\[(48x^4/2−6x^3/2−32x/2+4/2)\]
RhondaSommer (rhondasommer):
and place (2) on the outside of the parenthesis
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OpenStudy (joshoyen):
2 ( 24x^4 - 3x^3 - 16x + 2 )
RhondaSommer (rhondasommer):
\[2(24x^4−3x^3−16x+2)\] is correct
RhondaSommer (rhondasommer):
if you place \[
and
\ ] (without any spaces) it makes it an actual equation and easier to read
OpenStudy (joshoyen):
Ohh, okay
OpenStudy (joshoyen):
\[2(24x^4-3x^3-16x+2)]/
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OpenStudy (joshoyen):
Wat, lol. Didn't work
OpenStudy (joshoyen):
\[2(24x^4-3x^3-16x+2)\]
OpenStudy (joshoyen):
Alright, got it
RhondaSommer (rhondasommer):
Factor out common terms in the first two terms, then in the last two terms
so \[24x^4\] and \[-3x^3\] have \[3x^3\] as a common term so divide \[3x^3\] on each and place it outside the parenthes
RhondaSommer (rhondasommer):
ill do this one you do the next
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OpenStudy (joshoyen):
Aight
RhondaSommer (rhondasommer):
\[2x^4/3x^3 = 8x\]
RhondaSommer (rhondasommer):
\[-3x^3/3x^3=-1\]
RhondaSommer (rhondasommer):
so that piece will be \[3x^3(8x-1)\]
RhondaSommer (rhondasommer):
you do \[-16x+2\]
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RhondaSommer (rhondasommer):
the smallest they can both be divided by is what?
RhondaSommer (rhondasommer):
largest* number
OpenStudy (joshoyen):
Oh, alright
\[2x(8x+1)\] ?
RhondaSommer (rhondasommer):
close! really close!
RhondaSommer (rhondasommer):
they can both be divided by \[-2\]
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RhondaSommer (rhondasommer):
so thats going to be outside your parenthesis
RhondaSommer (rhondasommer):
\[-16x/-2=?\]
\[-2/2=?\]
OpenStudy (joshoyen):
ohh okay
\[ -2 x(8-1)\]
RhondaSommer (rhondasommer):
SUPER CLOSE!
OpenStudy (joshoyen):
\[-2(8x-1)\]
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RhondaSommer (rhondasommer):
\[-16x/-2=8x\] and your number outside the parenthisis will be just \[-2\]
RhondaSommer (rhondasommer):
you got it!
OpenStudy (joshoyen):
Yay lol
RhondaSommer (rhondasommer):
so now we have \[2(3x^3(8x−1)−2(8x−1))\]
RhondaSommer (rhondasommer):
but because \[(8x-1)\] can be factoed out we will make it look a bit nicer by taking it out and putting it by the two so now all you have is...
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RhondaSommer (rhondasommer):
\[2(8x−1)(3x^3−2)\]
OpenStudy (joshoyen):
Ohh, I see
RhondaSommer (rhondasommer):
now we place it back into the equation
RhondaSommer (rhondasommer):
\[2(8x−1)(3x3−2)/8x−1\]
RhondaSommer (rhondasommer):
which simply takes out \[(8x-1)\]
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RhondaSommer (rhondasommer):
and you are left with this \[2(3x^3-2)\]
OpenStudy (joshoyen):
Which leaves me with \[6x^3 - 4\] ?
RhondaSommer (rhondasommer):
yup ^_^
OpenStudy (joshoyen):
Ohhh, wow. haha thanks so much
RhondaSommer (rhondasommer):
your welcome. took a while but we got it :)
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OpenStudy (joshoyen):
yeah lol now i gotta do 10 more of these -_- ..
RhondaSommer (rhondasommer):
i can help some more if you want :)
OpenStudy (joshoyen):
I'm actually fine, I wanna try to do it on my own, now. Thanks a lot tho!
RhondaSommer (rhondasommer):
yeah no problem. if you want to double check your answers tag me :)
OpenStudy (joshoyen):
okay :)
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RhondaSommer (rhondasommer):
PM me if you ever want to talk. I kinda enjoyed teaching someone who wanted to learn and didnt just want the answer :)
RhondaSommer (rhondasommer):
i had a 54 in teamwork before this problem and now i have a 60 XD
OpenStudy (joshoyen):
yeah I don't really learn if I just get the answer. And that's great! haha
RhondaSommer (rhondasommer):
:) PM me sometime tho
OpenStudy (joshoyen):
Alright (:
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