anonymous
  • anonymous
Find the values (or value) of k that makes(s) the second polynomial a factor of the first y^3-ky^2+11y-k y-2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AccessDenied
  • AccessDenied
d'oh, my reply didn't send. ): So, how do you determine whether a polynomial is a factor of another?
anonymous
  • anonymous
I dont know...
apoorvk
  • apoorvk
you divide and see if it leaves no remainder. no remainder means its a factor!!

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AccessDenied
  • AccessDenied
Well, we can check using division... if their remainder is 0, then the divisor is a factor of the dividend.
anonymous
  • anonymous
Can you show me how to do it using long division please?? thank you...
slaaibak
  • slaaibak
set y = 2, then the poly = 0. Solve for k.
anonymous
  • anonymous
I did synthetic division with negative k in the two spots. You will get a remainder as a function of k, set it to zero to find the correct value of k.
AccessDenied
  • AccessDenied
yeah, i would have used synthetic division, its easier to keep organized with. :P
anonymous
  • anonymous
but I was wondering how you would do long division in this problem because our professor didn't teach us synthetic division
AccessDenied
  • AccessDenied
I think slaaibak's approach is much easier, in that case. here's how it'd work out in long division (might be hard to read, was all written by mouse) |dw:1332705503258:dw|
AccessDenied
  • AccessDenied
Yeah, that worked out well. :D We'd set -5k + 30, our remainder, equal to 0 and solve for k. That would be the only value that satisfies this problem. Yeah, I much prefer the other method mentioned or synthetic division, which isn't AS messy, but it just needs space. :)

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