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Mathematics 19 Online
OpenStudy (anonymous):

sd

OpenStudy (psymon):

When you graph simply sin(x) by itself? Maybe you're zoomed out?

OpenStudy (anonymous):

i don't know. I did zoom standard

OpenStudy (psymon):

Yeah, I normally would have made the assumption that you're zoomed out too far. Check thevalues of your graph maybe? Like, if you tell it to evaluate sin(x) at pi/2 does it still give you 1 on your graph.

OpenStudy (anonymous):

ya

OpenStudy (anonymous):

but first can you help me solve the other problems?

OpenStudy (psymon):

So those are all separate problems, right?

OpenStudy (anonymous):

ya

OpenStudy (psymon):

Okay, well witht he first problem we want everything on one side set equal to 0, so we can do that: \[x ^{3}-3x ^{2}+3x - 1 = 0\] Have you heard about the rational zeros theorem?

OpenStudy (anonymous):

no

OpenStudy (psymon):

Well, maybe you heard it and don't know the name, who knows. Well, it says that the "possible" real zeros are factors of the constant divided by factors of the leading coefficient. So our constant is -1 and our leading coefficient is just 1. So these would be the "possible" real zeros: \[\frac{ \pm -1 }{ \pm 1 }\] Any combination of those that we can come up with could be a zero. Now these are only possible zeros, only one of them may bean actual zero. So really, the only two choices we have are positive 1 and negative 1. Which one do you want to test?

OpenStudy (anonymous):

positive

OpenStudy (psymon):

Alright. Do you know about synthetic division?

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