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Katarina [22]
3 years ago
11

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?
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
F(x) = k(x+2)(2x-1)(x-3), where k is some constant
= k(2x^3-3x^2-11x+6)
= k(-2x^3+3x^2+11x-6)

k defines some vertical stretch, so there are an infinitely many solutions for f(x).
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