Only question 3 factor form.f(x)=3x³ - x² - 3x + 13. A box with a lid is to be made from a 96 cm by 48 cm sheet of metal. It is cut andfolded as shown in the figure. If the box must be at least 12 cm high, what size squaresshould be cut from the corners in order for the box to have a volume of 9600 cm³?(2.3 12)4. a) Determine an equation for a family offunctions with zeros at 1 ± √5, -3, and 1/3.b) Determine an equation for the family memberwhose graph passes through the point (-2,-7).(2.4 12)X96x-485. A square-based pyramid has a height that is twice its base length.a) Determine an equation to represent the volume of the pyramid, in terms of the baselength.b) What are the domain and range of the function if the base must be at least 1 cm²and the volume cannot exceed 60 cm³? (2.5 14)6. Ten-year-old Kayla's lemonade stand has experienced rises and falls in sales causedby temperature changes over the last few summers. Her sales over the first two weeksthu modal S(x) = x³ - 12x² + 36x, where x is the

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3. A box with a lid is to be made from a 96 cm by 48 cm sheet of metal. It is cut and folded as shown in the figure. If the box must be at least 12 cm high, what size squares should be cut from the corners in order for the box to have a volume of 9600 cm³? (2.3 12) 4. a) Determine an equation for a family of functions with zeros at 1± √5, -3, and 1/3. b) Determine an equation for the family member whose graph passes through the point (-2,-7). x x 1 1 II I II II II II II II 1 96 1 48