Write a polynomial \(f(x)\) that meets the given conditions. Answers may vary. Degree 4 polynomial with zeros 7 and \(-\frac{4}{3}\) (each with multiplicity 1) and 0 (with multiplicity 2). \(f(x) = 4x^4 - 31x^3 - 21x^2\) \(f(x) = 3x^4 - 17x^3 - 28x^2\) \(f(x) = 4x^4 - 25x^3 - 21x^2\) \(f(x) = 3x^4 - 25x^3 + 28x^2\)
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Step 1: List the zeros and multiplicities: zeros 7 and -4/3 (each multiplicity 1) and 0 (multiplicity 2). Show more…
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