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Mathematics 18 Online
OpenStudy (anonymous):

what remainder do you get when you divide x^100-2x^49-1 by (x+1)

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

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

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

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

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?

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

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

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

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

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