Exercise 1.

Write down a polynomial with roots x=1, x=2, and x=3/4.

Solution.

Since f(1)=0, the polynomial must have a linear factor (x-1). Similarly, it has factors of the form (x-2) and (x-3/4). So a possible choice is

displaymath26

Ther are zillions of solutions; here are two more choices:

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or

displaymath28

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Helmut Knaust
Sun Jun 8 13:48:21 MDT 1997

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