Question: 3. Consider the following function: f(x) = x5 + 3x4 - 8x2 - x - 3 a) Apply Descartes' Rule of Signs to determine the

 3. Consider the following function: f(x) = x5 + 3x4 -

8x2 - x - 3 a) Apply Descartes' Rule of Signs to

3. Consider the following function: f(x) = x5 + 3x4 - 8x2 - x - 3 a) Apply Descartes' Rule of Signs to determine the possible number of positive and negative real zeroes. b) Apply the Rational Zero Theorem to list the values of the possible zeroes of the function. c) Find all the zeroes of f(x) = x4 + 3x3 - 4x2 + 25x - 25 and write the function as a product of linear factors. Carefully show the divisions used

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