MHFAU Unit 2-Polynomial Functions Name: Ben P Assignment: Polynomial Equations and Inequalities K: 19 C: 19 Date: A: / 12 T/I: / 11 Mark: 1 Determine an equation factored form for the polynomial function represented by the graph. K3 A2 2 Prove that x2 + 5x + 6 is a factor of x4 + 5x3 + 2x2 - 20x - 24. K4 C1 Page 1MHFAU MHF4U Unit 2-Polynomial Functions Name : 3 Factor 3x4 + 5x3 - 13x2 - x + 6 fully. State all intercepts and sketch a detailed graph of f(x) = 3x4+5x3-13x2 -x+6 T3 A5 C4 -10 Page 2MHF4U Unit 2-Polynomial Functions Name: 4 Determine the x-intercept(s) of the polynomial function y = -3(x + 3)4 + 48. Justify your answer by showing your work. T3 5 Solve the inequality, using the Intervals Method. -x3 + 5x2 - 2x - 810 T5 K2 C3 Page 3MHF4U Unit 2-Polynomial Functions Name : 6 The height, h, in metres, of a weather balloon above the ground after t seconds can be modelled by the function h(t) = -2+3 + 3+2 + 149t + 410, for 0 S: $ 10. When is the balloon exactly 980 m above the ground? A5 C1 Page 4