Part I: Knowledge [25 marks] Fill in the blanks: (13 questions, 16 marks in total, no partial mark) 1. (1 mark) Write the equation of a cubic function, f(x), with zeros at -5, 0, and 2, and end behavior f(x) - co as x - -co. 2. (1 mark) Factor completely 27x3 + 8. 3. (1 mark)State the remainder when (7x5 + 3x* - 6x2 + 5) is divided by (x+1). 4. (1 mark) Rewrite in logarithmic form. b = am. 5. (2 marks) Write ALL the asymptotes of the function f (x) = 4x+4 (x-3)(x+1)' 6. (1 mark) State the domain of y = (x+3)(x-3) x2+10x-24' 7. (1 mark) Give the period for the function y = 3sin (0.50 - n). 8. (1 mark) State the exact value of sin ?&quot