QUESTION A (maximum of 9 marks) An open top box is being made from a 1 1 cm by 8 cm piece of cardboard by 11 cm cutting four equal squares from the corners as shown in the diagram and then folding along the dotted lines as shown in the diagram. Determine the set(s) of dimensions that will produce 8 cm a volume of 14 cm ? Approximate dimensions to the nearest tenth of a cm, if necessary. Solve algebraically. HINT: One of the possible dimensions of the height is between 3 cm and 6 cm. [8] O QUESTION B (maximum of 6 marks) Solve 2x3 + x3- 32 x + 14 = 0, express roots as non-decimal exact values in simplest form. HINT: One of the roots is between 3 and 6.3. Divide x3 - 4x2 +7 by x - 3 and express in quotient form: P(x) R(x) D(x) = 0(x)+ .D(x) D(x) * 0 where P(x) is the dividend, D(x) is the divisor, O(x) is the quotient, and R(x) is the remainder.When the polynomial x3 + kx - 6.x + 4 is divided by x - 3, the remainder is 10. Determine the value of k. [3]