A function, f(x), has zeroes at -5, -1, and 2. It is also known that f(-6) and f(4) are negative, and that f(-3)and f(1) are positive. a) Sketch a graph of f(x) b) How many times is it possible that x=-5 occurs as a root? c) How many times it possible that x=-1 occurs as a root? d) How many times it possible that x=2 occurs as a root? e) Is it possible to write f(x) in factored form as f(x) = (x – 2)(x + 5)(x + 5)(x + 5)(x +1)(x + 1)?

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