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heathernelly Group Title

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  • one year ago
  • one year ago

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  1. CliffSedge Group Title
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    Fundamental theorem of algebra tells you the maximum number of real solutions there are to a polynomial equation. In your example, the highest exponent on x is 5, so there will be at most 5 real solutions.

    • one year ago
  2. CliffSedge Group Title
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    The other thing to consider is that not only are there a maximum of 5 real solutions, there are guaranteed 5 solutions total (though some of them may be imaginary).

    • one year ago
  3. heathernelly Group Title
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    how do i solve it though?

    • one year ago
  4. CliffSedge Group Title
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    If you have multiple choice options, you don't need to solve it. You choose the only one that makes sense. It's a fifth degree polynomial, that means it has 5 roots; which of those options shows 5 roots?

    • one year ago
  5. heathernelly Group Title
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    ok, bu then then how would that work out for my next equation: x3 – x2 + 5x – 5 = 0

    • one year ago
  6. CliffSedge Group Title
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    (c) is unclear. What are the solutions there?

    • one year ago
  7. CliffSedge Group Title
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    (a) and (b) are plausible. The only difference is 1 or -1, so you could test those to see which on is a root.

    • one year ago
  8. CliffSedge Group Title
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    Ok, well testing x=1 and x=-1 will still narrow it down. If x=1 is a root then it has to be (a). If -1 works, then you can factor it out (use synthetic division or whatever).

    • one year ago
  9. CliffSedge Group Title
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    Also, this polynomial is factorable, which will show the solutions right away.

    • one year ago
  10. heathernelly Group Title
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    okay, ty for the help :)

    • one year ago
  11. CliffSedge Group Title
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    My pleasure.

    • one year ago
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