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heathernelly

  • 3 years ago

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  1. CliffSedge
    • 3 years ago
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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.

  2. CliffSedge
    • 3 years ago
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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).

  3. heathernelly
    • 3 years ago
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    how do i solve it though?

  4. CliffSedge
    • 3 years ago
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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?

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

  6. CliffSedge
    • 3 years ago
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    (c) is unclear. What are the solutions there?

  7. CliffSedge
    • 3 years ago
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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.

  8. CliffSedge
    • 3 years ago
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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).

  9. CliffSedge
    • 3 years ago
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    Also, this polynomial is factorable, which will show the solutions right away.

  10. heathernelly
    • 3 years ago
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    okay, ty for the help :)

  11. CliffSedge
    • 3 years ago
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    My pleasure.

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