anonymous
  • anonymous
Please help me with 3 Polynomial Q's? Last 3 in Quiz. (2x^3+x^4-6x^2+11x-10)/(x^2+2-x) (x^5-10x^2-8)/(x-2) (x^2+81)/(x+3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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madhu.mukherjee.946
  • madhu.mukherjee.946
divide them in long division process
anonymous
  • anonymous
I know but I can't make it work with these problems.
madhu.mukherjee.946
  • madhu.mukherjee.946
wait then

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xapproachesinfinity
  • xapproachesinfinity
why you can't make it work what is different?
anonymous
  • anonymous
IDK why. I guess I don't understand it entirely? But with the latter two problems the answer is supposed to be relly long and it's a short problem....
xapproachesinfinity
  • xapproachesinfinity
ok so you know how to do long division yes?
madhu.mukherjee.946
  • madhu.mukherjee.946
first one is x^2+3x-5
xapproachesinfinity
  • xapproachesinfinity
don't just give answers lol
madhu.mukherjee.946
  • madhu.mukherjee.946
pls try second one on your own
anonymous
  • anonymous
I don't just want the answer. I want the problem explained. I want to be able to understand it .
madhu.mukherjee.946
  • madhu.mukherjee.946
ok
anonymous
  • anonymous
Yes I sort of know long division
madhu.mukherjee.946
  • madhu.mukherjee.946
your first term is x^4 right
anonymous
  • anonymous
yes i think so
xapproachesinfinity
  • xapproachesinfinity
first rewrite that as (x^4+2x^3-6x^2+11x-10)/(x^2-x+2)
madhu.mukherjee.946
  • madhu.mukherjee.946
okay now you see your divisor its x^2-x+2
xapproachesinfinity
  • xapproachesinfinity
we want to put polynomial in an ascending order
anonymous
  • anonymous
yes got it written down that way
madhu.mukherjee.946
  • madhu.mukherjee.946
x^2*x^2 =x^4 which is matching with your first term
anonymous
  • anonymous
what?
anonymous
  • anonymous
what?
madhu.mukherjee.946
  • madhu.mukherjee.946
so now multiply the entire x^2-x+2 with x^2
xapproachesinfinity
  • xapproachesinfinity
then we put in long division |dw:1441770468769:dw|
xapproachesinfinity
  • xapproachesinfinity
ok so you did this right?
xapproachesinfinity
  • xapproachesinfinity
so where did you find the problem? exactly
anonymous
  • anonymous
yes it is in that form. the problem is from my online school quiz
xapproachesinfinity
  • xapproachesinfinity
|dw:1441770607055:dw|
xapproachesinfinity
  • xapproachesinfinity
did you do this?
anonymous
  • anonymous
wait how did you do that?
madhu.mukherjee.946
  • madhu.mukherjee.946
i told you multiply it with x^2
anonymous
  • anonymous
how does that work though! i'm completely clueless here....
xapproachesinfinity
  • xapproachesinfinity
well there an x^4 how to obtain that if you multiply by x^2 so you need an x^2 since x^2times x^2=x^4 we mainly focus on the leading terms
xapproachesinfinity
  • xapproachesinfinity
the divisor (x^2-x+2) has a leading term of x^2 the one we want to divide has a leading term of x^4
anonymous
  • anonymous
ok. I sorta see that now.
xapproachesinfinity
  • xapproachesinfinity
this like you do with long division of numbers
xapproachesinfinity
  • xapproachesinfinity
we mainly focus on the first number yes! so here we look at the highest power (leading term)
xapproachesinfinity
  • xapproachesinfinity
that's why it is important to put the terms in order
xapproachesinfinity
  • xapproachesinfinity
ok now proceed what you need to do you said you have dealt with long division before
anonymous
  • anonymous
yup, now that i've had help getting it started it's going good. may still need help with the other two in a bit.
xapproachesinfinity
  • xapproachesinfinity
it is the same concept for all of them
xapproachesinfinity
  • xapproachesinfinity
for second you have x^5 what you need to multiply x by to get x^5?
anonymous
  • anonymous
i know but the exponents are confusing me. everything i've done before had consecutivee numbers like 4,3,2. this is 5,2 etc.
xapproachesinfinity
  • xapproachesinfinity
|dw:1441771163604:dw|
xapproachesinfinity
  • xapproachesinfinity
well may be you need to relook at how you deal with exponents because if you didn't solve that problem you will always run into it again
anonymous
  • anonymous
yeah i know. any online source you can link me to?
xapproachesinfinity
  • xapproachesinfinity
there are lot of good sources, look at PatrickJMT channel in youtube or khan academy, ProfRobBob
xapproachesinfinity
  • xapproachesinfinity
check lesson on exponents
xapproachesinfinity
  • xapproachesinfinity
or perhaps mathfoudantion by NJwildberger
xapproachesinfinity
  • xapproachesinfinity
foundation*
xapproachesinfinity
  • xapproachesinfinity
all those have lecture on those areas
anonymous
  • anonymous
ok, thanks.
xapproachesinfinity
  • xapproachesinfinity
look at them and do some problem tell you master the concept then you ready to move on and deal with polynomial easily
xapproachesinfinity
  • xapproachesinfinity
three properties you need to keep with you \(a^n\times a^m=a^{n+m}\) \(\Large \frac{a^n}{a^m}=a^{n-m}\) \(\frac{1}{a^n}=a^{-n}\) these play a key role i lot of mathematics areas
xapproachesinfinity
  • xapproachesinfinity
when you deal x it is no different it is still the same properties applied over an over we just change variable. mathematics we don't mainly focus on the variable what is it rather we look at concepts (definition, theorem, etc)
xapproachesinfinity
  • xapproachesinfinity
so if i have x^3.x^2=x^{3+2}=x^5
xapproachesinfinity
  • xapproachesinfinity
do you get my point
anonymous
  • anonymous
yes i see

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