Find a polynomial function of degree 3 with real coefficients that has the given zeros. -1, 2, -4 The polynomial function is f(x) = x^3 + x^2 - 6x - 8.
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First, we know that a polynomial function of degree 3 with real coefficients and zeros at -1, 2, and -4 can be written in the form: f(x) = a(x + 1)(x - 2)(x + 4) We can expand this to get: f(x) = a(x^3 + 3x^2 - 10x - 8) We want the coefficient of x^3 to be 1, Show more…
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