Hello,

Please ONLY ATTEMPT IF you intend to try all of the following questions. Otherwise, please do not attempt! Please ANSWER ALL PARTS AND EACH QUESTION READ CAREFULLY.

Thank you for your help.

. For the graph of the polynomial function, determine the following and provide justification, if required, for each response: o The least possible degree and indicate whether this degree is odd or even (1 mark for the response; 1 mark for the justification) . The sign of the leading coefficient (1 mark for the response; 1 mark for the justication) . The x-intercepts and their multiplicity (2 marks for the response; 1 mark for the justication) . In interval notation, provide the intervals where the function is positive (Le. above the x-axis) and the intervals where it is negative (Le. below the X-axis) (2 marks for the response; no justification necessary) . Provide the domain and range in set-builder notation (2 marks for the response; no justification necessary) . The equation for the polynomial function (1 mark for the response; 2 marks for the justification) 7. Boxes for candies are to be constructed from cardboard sheets that measure 36 cm by 20 cm. Each box is formed by folding a sheet along the dotted lines, as shown. What is the volume of the box as a function of x? What are the possible dimensions of the box if the volume is to be 512 cm3? (5 marks) 4. Completely factor P(x) = x3 - 13x2 + 12. Begin with listing the test factors. The solution must include synthetic division