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anonymous

  • 5 years ago

Use the RAtional Root Theorem to list the possible rational roots for the followin equation. f(x)=x^2+2x+1

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  1. amistre64
    • 5 years ago
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    factors last# ---------- factors first#

  2. amistre64
    • 5 years ago
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    +- 1 --- 1

  3. amistre64
    • 5 years ago
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    since allthe signs are + there are no + roots

  4. anonymous
    • 5 years ago
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    I dont know this Rational root theorm, but what I see from the constant term is......possible roots are the factors of the constant term. factors of 1 are, 1 and -1 so possible roots are +- 1

  5. amistre64
    • 5 years ago
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    rational means fraction and the therum says we cannarrow our trial and error down to a pool of options that have a chance of working

  6. amistre64
    • 5 years ago
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    if it aint inthe list; ther eis no way it could work :)

  7. amistre64
    • 5 years ago
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    or at least no easy way to get it; maybe have to involve square roots then

  8. amistre64
    • 5 years ago
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    5x^2 +6x +9 we can generate a pool of options buy factoring last over top 1,3,9 ----- 1,5

  9. anonymous
    • 5 years ago
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    but here, though +1, -1 are possible roots, we can trail and error with these, and what works best.

  10. amistre64
    • 5 years ago
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    so our roots can be: 1,3,9,1/5, 3/5, 9/5 +-

  11. anonymous
    • 5 years ago
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    It requires me to show the work does this look right? (x+1)^2 x+1=0 x=0 x+1=0 x=-1 answer -1

  12. amistre64
    • 5 years ago
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    that doesnt look lke it applies to your question

  13. amistre64
    • 5 years ago
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    your problem says to generate the pool options: 1 (+-) -- ; generates 2 option for us, 1 and -1 1

  14. anonymous
    • 5 years ago
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    a friend was trying to help me and I wasn't sure

  15. amistre64
    • 5 years ago
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    then you try and error your way thru it: when x = 1; we try to use (x-1) as a factor; divide it thru to see

  16. amistre64
    • 5 years ago
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    or synthetic divide it for a quicker result

  17. anonymous
    • 5 years ago
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    my other problems require testing synthetically possibilities

  18. anonymous
    • 5 years ago
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    so the way you show it is how I should write it?

  19. amistre64
    • 5 years ago
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    synthetic is the same concept as long division; but neater

  20. amistre64
    • 5 years ago
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    yes; find the rational root options by: last# factors (+-) ----------- first# factors

  21. amistre64
    • 5 years ago
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    then you pull out all the numbers that these make....

  22. anonymous
    • 5 years ago
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    this is a course that I probable should have taken in a classroom setting I had to take it through an independent program for high school in order to graduate next month

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