Use the Java applet for polynomial functions of various degrees to find a polynomial function with the given degree (0-5) and number of zeros described in each column under "Exact Number of Real Zeros", if possible. If you find one, write the function in the appropriate box in the chart. If no such polynomial function exists, write in the box "NP" for "not possible." Before you begin, note the directions below the chart regarding the conjectures you will need to make.
After answer this question:
Make as many conjectures as you can concerning the relationship between the degree of a polynomial function and the number of roots of the function. Use precise mathematical language. Note the difference among the phrases at least, exactly, and at most.
