For Exercises 2530: (a) Find a polynomial f(x) with leading coefficient 1 such that the
Chapter 12, Problem 25(choose chapter or problem)
For Exercises 2530: (a) Find a polynomial f(x) with leading coefficient 1 such that the equation f(x) 0 has the given roots and no others. If the degree of f(x) is more than 4, leave f(x) in factored form rather than multiplying it out. (b) Use a graphing utility to check the following fact, mentioned in this section: If x r is a multiple root of f(x) 0,then the graph of the function f is tangent to the x-axis atx r.
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