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8-105.
  1. Make a sketch of a graph p(x) so that p(x) = 0 would have the indicated number and type of solutions. Homework Help ✎

    1. 5 real solutions

    2. 3 real and 2 complex

    3. 4 complex

    4. 4 complex and 2 real

    5. For parts (a) through (d), what is the lowest degree each function could have?

Your graph should have five x-intercepts.

Draw a graph with three x-intercepts that when shifted vertically would have five x-intercepts.

Draw a graph with no x-intercepts. But, when it is shifted down it should have four x-intercepts.

The degree needs to be at least as high as the number of solutions.