Question

Find an equation for f(x), the polynomial of smallest degree with real coefficients such that f(x)...

Find an equation for f(x), the polynomial of smallest degree with real coefficients such that f(x) bounces off of the x-axis at 5, breaks through the x-axis at −1, has complex roots of −5−3i and −4+2i and passes through the point (0,89).

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