Mathematics
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OpenStudy (anonymous):
what remainder do you get when you divide x^100-2x^49-1 by (x+1)
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OpenStudy (anonymous):
oh i hate this
OpenStudy (anonymous):
I am just gonna solve it
OpenStudy (anonymous):
I think 2^49
OpenStudy (anonymous):
I am just gonna check that out
OpenStudy (anonymous):
how do you solve it..i need to know for testing
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so basically you plug in -1 into the equation and the number you get is the remainder
OpenStudy (anonymous):
I'm gonna have to brush up my algebraic division skills. Gimme a sec.
OpenStudy (anonymous):
(-1)^100-2(-1)^49-1=2^49
OpenStudy (anonymous):
why -1 though
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OpenStudy (anonymous):
Yeah, rld613, I'm afraid you may be thinking of something else entirely. What you're describing is not algebraic division.
OpenStudy (anonymous):
Its the reamainder theorem for polynomiials
OpenStudy (anonymous):
basically the way i wld explain it
OpenStudy (anonymous):
so the poly nomial is being divided by (x+1)
OpenStudy (anonymous):
rld im still confused as to why we elected to replace x with -1
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OpenStudy (anonymous):
Oh this is confusing
OpenStudy (anonymous):
So i will just give u a tip and won't explain y but you take the oppostie value of the constant
OpenStudy (anonymous):
So over here it is being factored by (x+1)
The constant is 1 so swith the sign and it is -1
OpenStudy (anonymous):
Okay, so as it turns out, Jim and rld613 are right! It's been forever since I did one of these. Thanks for the brain teaser!
OpenStudy (anonymous):
rld are you free tonight...you have been explaining things to me wonderfully and i have a boatload of questions remaining lol
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OpenStudy (anonymous):
Lets say you were dividing the polynomial by (x+3) what would you plug into the polynomial to find the remainder
OpenStudy (anonymous):
I actually have to finish writing a term paper!!!!
OpenStudy (anonymous):
ohh alright
OpenStudy (anonymous):
but wld be the answer to the question I asked
OpenStudy (anonymous):
are u there?
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OpenStudy (anonymous):
hmm ive got 5
OpenStudy (anonymous):
you got 5 for what?
OpenStudy (anonymous):
I was asking what number would you plug into the polynomial to find th eremainder
OpenStudy (anonymous):
oh -3
OpenStudy (anonymous):
i pluged -3 and solve and got 5
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OpenStudy (anonymous):
ya u got it and the answer yo uget is the remainder
OpenStudy (anonymous):
no it isn't 5
OpenStudy (anonymous):
(-3)^100-2(-3)^49-1
OpenStudy (anonymous):
5^47
OpenStudy (anonymous):
it like this huge number
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OpenStudy (anonymous):
yea its like 5.1537752027E47
OpenStudy (anonymous):
ya
OpenStudy (anonymous):
that is a huge number
OpenStudy (anonymous):
which of the following numbers is not a potential rational zero of the polynomial funcion
p(x) = x^4 - 9x^2 - 4x + 12
OpenStudy (anonymous):
what is a potentional rational 0
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OpenStudy (anonymous):
ok i think i know what to do
OpenStudy (anonymous):
x^100-2x^49-1 by (x+1)|dw:1322705548975:dw| notice that in between the terms there are 51 then 49 so both powers of 1 will be odd