Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (joshoyen):

Divide. 1. (48x^4 - 6x^3 - 32 x + 4) / (-1 + 8x)

RhondaSommer (rhondasommer):

one sec let me do this so i have the answer before i guide you through it

OpenStudy (joshoyen):

Okay (:

RhondaSommer (rhondasommer):

were did you get this question?

OpenStudy (joshoyen):

A sheet my teacher gave me for homework.

RhondaSommer (rhondasommer):

what grade are you in?

OpenStudy (joshoyen):

Junior

RhondaSommer (rhondasommer):

cool :) im a soph but ill be graduating next year too :)

OpenStudy (joshoyen):

Oh, really? Dang haha

RhondaSommer (rhondasommer):

\[48x^4−6x^3−32x+4/−1+8x\]equals\[48x^4−6x^3−32x+4/8x−1\]

RhondaSommer (rhondasommer):

can you factor the numerator?

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 \[44\]?

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

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)]/

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

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 \[-16x+2\]

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 \[-2\]

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):

\[-2(8x-1)\]

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...

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 \[(8x-1)\]

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 :)

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 :)

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 (:

RhondaSommer (rhondasommer):

:d

RhondaSommer (rhondasommer):

i stck my tounge up not down XD

RhondaSommer (rhondasommer):

#TiredWithNoLifeDoesNotMakeForGreatSanity

OpenStudy (joshoyen):

Lmao xD

RhondaSommer (rhondasommer):

i PMed you :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!