Question: Consider a third-degree polynomial f(x), which has the properties, f'(4) = 0, f'(1) =0. Determine whether the following statements are True or False. Please explain

Consider a third-degree polynomial f(x), which has the properties, f'(4) = 0, f'(1) =0. Determine whether the following statements are True or False. Please explain your reasoning

f(x) = 0 for some 4 x 1

f''(x) = 0 for some 4 x 1

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