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OpenStudy (anonymous):
OpenStudy (anonymous):
looks from my eyes that \(-3\) is one zero, crosses touches the x axis there
OpenStudy (anonymous):
yeah i was thinking -3,-5,5
OpenStudy (anonymous):
then look to see the other point where it crosses the x axis
OpenStudy (anonymous):
no not \(-5\)
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OpenStudy (anonymous):
well then what would it be considering the choices
OpenStudy (anonymous):
it does not cross the x axis at -5
OpenStudy (anonymous):
do you have a choice that says \(-3\) and \(5\)?
OpenStudy (anonymous):
you are only being asked where it touches or crosses the x axis
jimthompson5910 (jim_thompson5910):
see attached image
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OpenStudy (anonymous):
the choices are on with the graph.. and theres a -3,-3,5
OpenStudy (anonymous):
lol no you don't
OpenStudy (anonymous):
go with NONE OF THESE
OpenStudy (anonymous):
don't pick a wrong one just because it is there
OpenStudy (anonymous):
thats reasonable hahaha okay heres the next one
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OpenStudy (anonymous):
OpenStudy (anonymous):
name the zeros first
OpenStudy (anonymous):
if you don't know them say so and i will help
OpenStudy (anonymous):
-3,2,4??
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
ok good now we can continue
OpenStudy (anonymous):
you see how it touches at \(-3\) rather than crossing?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
that means one of the factors is \((x+3)^2\) rather than just \(x+3\)
OpenStudy (anonymous):
then the answer would be B??
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OpenStudy (anonymous):
hold the phone we are not done
OpenStudy (anonymous):
oh lol yeah sorry
OpenStudy (anonymous):
by process of elimination that is the only one with \((x+3)^2\) in it
OpenStudy (anonymous):
you should also have a \((x-2)^2\) as a factor, and \(x-4\) so yeah
\[(x+3)^2(x-2)^2(x-4)\]
OpenStudy (anonymous):
okay that one was easy! heres the last graph one.. i think
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OpenStudy (anonymous):
looks like the zeros are at \(-3\) and also \(4\)
OpenStudy (anonymous):
oh and at \(-1\)
OpenStudy (anonymous):
yessss i got that :) so then
OpenStudy (anonymous):
and it touches at \(4\) so it is going to look like this
\[a(x+3)(x+1)(x-4)^2\]
OpenStudy (anonymous):
did you get that part?
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OpenStudy (anonymous):
yessss got that also
OpenStudy (anonymous):
i hope it is clear
\(-3\) is a zero, so one factor is \(x+3\)
\(-1\) is a zero so one factor is \(x+1\) and
\(4\) is a zero, it touches at 4 so one factor is \(x-4\) ok good
OpenStudy (anonymous):
now we need \(a\)
OpenStudy (anonymous):
\((3,-6)\) is on the graph
that means if \(x=3\) you should get \(-6\) as a result
OpenStudy (anonymous):
set \[a(3+3)(3+1)(3-4)^2=-6\] and solve for \(a\)
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OpenStudy (anonymous):
which is not has hard as it looks since \((3-4)^2=(-1)^2=1\) so you really only have
\[a\times 6\times 4=-6\]
OpenStudy (anonymous):
-1/4??
OpenStudy (anonymous):
i get
\[a=-\frac{1}{4}\] but it is late, check my algebra
OpenStudy (anonymous):
oh look, C! it is always C
go with C
OpenStudy (anonymous):
i suppose "ihatethis" is random letters as wel
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OpenStudy (anonymous):
you done or got more?
OpenStudy (anonymous):
hahah okay ill go with C! thank you. ok now onto matrices..