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anonymous

  • one year ago

Sketch the following: A) Quadratic polynomial with exactly 1 zero B) Cubic polynomial with exactly 3 zeros C) Quartic polynomial with exactly 3 zeros D) Quintic polynomial with exactly 4 zeros E) Quartic polynomial with no zeros F) Quintic polynomial with exactly 5 zeros

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  1. DanJS
    • one year ago
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    each graph should require 1 less than the degree number of points in order to graph

  2. DanJS
    • one year ago
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    at most that many i believe

  3. DanJS
    • one year ago
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    so each degree polynomial can change direction from increasing to decreasing at most the degree -1 times, right?

  4. DanJS
    • one year ago
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    like a 4th degree one can make a W shape... turns around in y direction 3 times at most

  5. DanJS
    • one year ago
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    i think the number of zeros can depend on how much you shift the graph up or down

  6. DanJS
    • one year ago
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    Just draw the general shape with the most times of increasing to decreasing changes, and move it up or down till you get the number of x-intercepts you want

  7. anonymous
    • one year ago
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    What would C look?

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