x^3−4x^2+x−6 divided by (x+2). If (x+2) is a factor, determine the remaining factors.
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OpenStudy (anonymous):
@Loser66
OpenStudy (loser66):
your attempt?
OpenStudy (anonymous):
idk what the second part means
OpenStudy (anonymous):
@Loser66
OpenStudy (loser66):
do you know long division? or synthetic?
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OpenStudy (anonymous):
long'
OpenStudy (anonymous):
I have the anwer
OpenStudy (loser66):
show me your work
OpenStudy (anonymous):
Its to much to type
OpenStudy (anonymous):
the answer I got is x^2-2x-3 @Loser66
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OpenStudy (anonymous):
remainder 12
OpenStudy (loser66):
hey, how can I know whether it is your work or you just copy from the back of the book? show your work, please, use draw box
OpenStudy (anonymous):
trust me, I dont have the answers its a worksheet
OpenStudy (loser66):
hahaha, ok, let me check.
OpenStudy (anonymous):
or else I wouldnt be asking:P
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OpenStudy (loser66):
hhhmmm how to say. :) I don't get what you got.
let work together
OpenStudy (anonymous):
I dont get the question
OpenStudy (loser66):
cannot use the draw box ,no choice for us, give me few minutes, I work on the paper, scan and post it . OK
OpenStudy (anonymous):
ok
OpenStudy (loser66):
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OpenStudy (loser66):
can you see it?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
dont submit a pdf
OpenStudy (anonymous):
I can't open pdfs
OpenStudy (loser66):
One more try
x^2 -6x +13
|------------------
x+2 | x^3 - 4x^2 +x -6
-
x^3 +2x^2
----------------
0 -6x^2 +x
-
-6x^2 -12x
---------------------
0 -13x -6
-
-13x +26
-----------------
0 -32
so the remainder is -32
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OpenStudy (loser66):
see it?
OpenStudy (loser66):
hey, I did all my best, give me your cupcake and I log out. hehehhe. joke.
Do you get it?
OpenStudy (anonymous):
yeah
OpenStudy (loser66):
YEAH. means you got it, right?
OpenStudy (anonymous):
but what is meant by the second part of the question?
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OpenStudy (loser66):
it means the remainder factor is \(\dfrac{-32}{x+2}\)
OpenStudy (anonymous):
huuuh?
OpenStudy (loser66):
I know it didn't show, -32 in the numerator, (x+2) in the denominator. Is it clear?
OpenStudy (loser66):
that is the remainder factor. got me? write it out on the paper
OpenStudy (anonymous):
Help me with this one 3x^3−5x^2−16x+12 divided by (x+2). If (x+2) is a factor, determine the remaining factors.
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OpenStudy (loser66):
hey, hey, it's exactly what we 've just done. DO IT. show me you got something from my guiding. I can check. I don't want to be your free answer service. you do it by yourself now. Show me your brain, please
OpenStudy (anonymous):
k wait
OpenStudy (anonymous):
I got .. 3x^2 -11x +6 Reminder 0
OpenStudy (anonymous):
@Loser66
OpenStudy (anonymous):
?????
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OpenStudy (loser66):
nope, redo. If you want me trust you, show the whole work like what I did. I could do it, why couldn't you? Moreover, it's your problem, right? One more try, please
OpenStudy (anonymous):
its wrong?
OpenStudy (loser66):
IT'S NOT CORRECT
OpenStudy (anonymous):
OpenStudy (anonymous):
@Loser66
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OpenStudy (loser66):
oh, yea, you are right , I am sorry. (wonder if I don't say it is not correct, is there anyway else to force you show the work?? ) hehehe.
OpenStudy (anonymous):
but the second part of the question???
OpenStudy (loser66):
it's me, I am a rude person. don't you know it? hehehe ,
the second part is "no remainder fraction"
OpenStudy (anonymous):
Complete the square to find the vertex of each quadratic function. State the vertex.
y=2x^2+8x−2
OpenStudy (loser66):
your idea?
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OpenStudy (anonymous):
x1=−2−5√
x2=−2+5√
OpenStudy (anonymous):
oops
square root 5
OpenStudy (loser66):
nope, not that way
OpenStudy (anonymous):
idk
OpenStudy (anonymous):
help me
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OpenStudy (loser66):
I am thinking the easiest way to show you
OpenStudy (loser66):
question : 2x^2 or (2x)^2
OpenStudy (anonymous):
y=2x^2+8x−2
OpenStudy (loser66):
we got trouble then. hehehe. let see what I can do for you
OpenStudy (loser66):
ok, factor 2 out, you have y = 2 ( x^2+4x -1)
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OpenStudy (loser66):
follow me carefully and stop me when you don't get me. Ok? i will post step by step
OpenStudy (anonymous):
ok
OpenStudy (loser66):
I just pick the ( ) part to solve first:
x^2 + 4x + 4 -4 -1 = (x +2)^2 -5
got me ??
OpenStudy (loser66):
no?
OpenStudy (anonymous):
kind of
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OpenStudy (loser66):
question?
OpenStudy (anonymous):
are you doing perfect squares?
OpenStudy (loser66):
yup
OpenStudy (anonymous):
completeing *
OpenStudy (anonymous):
ok
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OpenStudy (loser66):
got it? right?
OpenStudy (anonymous):
ya
OpenStudy (loser66):
not finish yet, just first step
OpenStudy (anonymous):
ok
OpenStudy (loser66):
now, put it back to y
y = 2 ( ) , right? and from the previous post , I have ( ) = (x+2) ^2 -5
so y = 2 ((x+2)^2 -5) = 2 (x+2)^2 -10
got it?
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OpenStudy (anonymous):
ya
OpenStudy (anonymous):
the vertex?
OpenStudy (loser66):
so, we have the form of vertex form y = a (x -h)^2 + k where h,k is vertex of parabola
your is y = 2 (x +2) ^2 -10 , can you tell me h =?? k =??
OpenStudy (anonymous):
-2,10
OpenStudy (loser66):
-2, -10, not 10
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OpenStudy (loser66):
Yes or No?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
vertex is -2,-10
OpenStudy (anonymous):
righttt????
OpenStudy (loser66):
YES
hehehe.... this rude guy is acceptable, right? hehehe
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OpenStudy (anonymous):
lol
OpenStudy (anonymous):
y=-x^2+5x−3
OpenStudy (anonymous):
another one
OpenStudy (loser66):
I don't know how to solve it, friend, hehehe... need rest.
OpenStudy (anonymous):
one more!!!
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