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.

2. Match each equation with the corresponding graph of a polynomial function. Justify your choices (Le. the type of function and whether it is of even or odd degree; the end behaviour of the graph of the function; the number of possible X-intercepts; whether the graph will have a maximum or minimum value; the yintercept). (9 marks 1 mark for correct match and 2 marks for justification) y 2x4 +3X3 3x2 7x+6 y=X34x2+4x y=2x3+6X2+2x6 3. Determine the real roots and state their multiplicity and consequent crossing of the x-axis of (9x2 81)(x2 9] = O. (2 marks for the roots; 2 marks for multiplicity and how the curve will cross the x-axis) 6. When a polynomial P00 is divided by [x 1), the quotient is x2 + 2x 9 and the remainder is 7. What is the polynomial? (3 marks) 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) J.\" It X I __'____.._..;..__1_._________