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A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f. Sketch the graph of f. How many different polynomials functions are possible for f?

User Shengyu
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1 Answer

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Hello,

y=-k(x+2)(x-1/2)(x-3) where k is a real positive.

We may chose k=1
There are an infinite solutions.

User Daniel Lenz
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