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kiara23
find polynomial f x of degree 3 that has the roots of -3,5 of multiplicity 2. Explain how you would verify the zero of f(x).
roots of -3, 5 and 5 mean that f(x) has the following factors: (x+3),(x-5),(x-5) so the polynomial expression that fits this criteria is: \[f(x)=a(x+3)(x-5)^2\]where a=any non-zero constant. Choose a=1 for simplest case.