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Lynienicole

  • one year ago

Hello everyone, is anyone interested in helping me solve a polynomial equation? (Link below is an screenshot of the question) http://prntscr.com/88wws6

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  1. anonymous
    • one year ago
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    ill help

  2. anonymous
    • one year ago
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    r u there girl

  3. Lynienicole
    • one year ago
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    Your help would be much appreciated! :) I'm stuck on question 2

  4. anonymous
    • one year ago
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    ok

  5. anonymous
    • one year ago
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    let me see

  6. anonymous
    • one year ago
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    im here

  7. anonymous
    • one year ago
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    u know whats important

  8. Lynienicole
    • one year ago
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    Important regarding to the question? Would be the polynomial, correct?

  9. Lynienicole
    • one year ago
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    Are you still available to help?

  10. anonymous
    • one year ago
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    yes

  11. anonymous
    • one year ago
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    hello r u there

  12. Lynienicole
    • one year ago
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    I am still here, do you understand question 2 ? I'm totally confused on how to use the fundamental theorem and Descartes' rules.

  13. amistre64
    • one year ago
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    define the thrm and the rule

  14. Lynienicole
    • one year ago
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    The fundamental theorem of algebra states that every polynomial equation over the field of complex numbers of degree higher than one has a complex solution. Polynomials of the form , with a, b,... coefficients real or complex, can be factored completely into where the r, s,... are complex numbers. In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for determining an upper bound on the number of positive or negative real roots of a polynomial

  15. amistre64
    • one year ago
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    hmm, is that the thrm from your material, or from the internet? just curious

  16. amistre64
    • one year ago
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    the form i am used to is that the degree of a polynomial defines the number of possible real zeros. an nth degree polynomial therefore has at most n real roots.

  17. Lynienicole
    • one year ago
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    Google definition. My Teacher/Professor never explained what it was..

  18. amistre64
    • one year ago
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    ah, google definitions are not always the simplest constructions

  19. Lynienicole
    • one year ago
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    Aha, very true.

  20. amistre64
    • one year ago
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    https://www.mathsisfun.com/algebra/fundamental-theorem-algebra.html this seems like a much simpler and easier to read description of it

  21. amistre64
    • one year ago
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    an nth degree poly has n complex roots. but real roots are complex roots of the form: r + 0i

  22. amistre64
    • one year ago
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    so accounting for complex roots; the degree of a polynomial tells us that a poly has at most, n real roots for some nth degree. does this make sense?

  23. Lynienicole
    • one year ago
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    I read over the link, and it makes my thinking a lot clearer aha. So basically, for question 2. I create a graph using those two functions, and explain how it matches the "construction foreman"?

  24. amistre64
    • one year ago
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    use the thrm and the sign rule to show to the foreman that your graph meets the requirements yes

  25. amistre64
    • one year ago
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    you have an x^3 poly ... 3rd degree, and we have 3 real roots right? so the thrm holds

  26. amistre64
    • one year ago
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    the sign rule just tells us the possible number of positive and negative roots and its a little complicated depending on your abilities. let x be some positive number; a then count the number of times the 'operations' change from + to - and back again that gives us the number of possible positive roots ---------------- then let x be some negative number; -a and do the same process to determine the number of possible negative roots

  27. amistre64
    • one year ago
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    for simplicity, i just use 1 and -1 for x instead of a and -a

  28. Lynienicole
    • one year ago
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    Thank you so much! Your help was greatly appreciated. :)

  29. amistre64
    • one year ago
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    your welcome, and good luck

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