Question: 4. A fourth degree polynomial function satisfies the following conditions: . P(2) >0 The graph extends upward in quadrant II . zeros at -2, 1

4. A fourth degree polynomial function satisfies the following conditions: . P(2) >0 The graph extends upward in quadrant II . zeros at -2, 1 and 5 . y-intercept of -5 a. Sketch the graph for this function (2 marks) b. Determine the equation (in factored form) for this polynomial function. (2 marks)c. Use the Remainder Theorem to determine the remainder when 2x3 -3x2 -4x +5 is divided by x - 3. (2 marks) d. Use the Factor Theorem to solve for k, if P(x) - 2x' -x?-15x + k and x + 2 is a factor of P(x) . (2 marks) 5

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