Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

graph questions...

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 \(-5\)

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

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

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

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??

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

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?

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 \(a\)

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

OpenStudy (anonymous):

you done or got more?

OpenStudy (anonymous):

hahah okay ill go with C! thank you. ok now onto matrices..

OpenStudy (anonymous):

oh god

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!