Please solve these questions and be concise.

this is an advanced functions course working with polynomial equations.

MHF4U Lesson 16 Assignment In this assignment you are going to explore the characteristics of polynomials functions. Part A: Finding the Answer In this section, you are going to use the clues provided for you in the lesson to answer these questions For each question, answer the question giving the strategies that you used in determining your answer. You will be given six marks - four marks for your strategy and two marks for the correct answer. Problem 1. Factor 2x4 - 7x3 - 41x - 53x - 21 fully.2. Prove that x' + 5x + 6 is a factor of x' + 5x' + 2x - 20x - 24 3. Solve 2x - x = 7x- - 9r + 3.4. Amit has designed a rectangular storage unit to hold large factory equipment. His scale model has dimensions 1 m by 2 m by 4 m. By what amount should he increase each dimension to produce an actual storage unit that 15 9 times the volume of his scale model? (include a diagram) T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T Maria is designing a series of stationary trays for holding papers and envelopes. Each tray starts as a rectangular sheet of metal from which identical squares are cut from the four corners. The resulting rectangular flaps are then folded up and welded to produce an open-topped rectangular tray. What size of square should Maria cut from a rectangular sheet of metal 15 cm by 25 cm in order to produce a tray with a o e 6. The distance of a ship from its harbour is modelled by the function d(t) = -3t + 3t>+18t where t is the time elapsed in hours since departure from the harbour. (draw a diagram to illustrate the problem) a) Factor the time function. b) When does the ship return to the harbour? c) There 1s another zero of d(t). What 1s 1t and why 1s 1t not relevant to the problem? d) Draw a sketch of the function where O0