1800 m of fencing is available to fence six identical pens as shown in the diagram. a Explain why 9x + 8y = 1800: b Show that the area of each pen is given by A = 9 8x2 + 225x m2. c If the area enclosed is to be maximised, what are the dimensions of each pen?

1.3 Factoring Math 1315-003 Greatest Common Factor: When finding the greatest common factor (GCF) you need to see what you can take out of the equation. 12p-18q: 12p-18q = here you can take out a 6 because they are both divisible by 6. = 6(2p-3q) 8x^3 – 9x^2 +15x: 8x^3-9x^2+15x = x (8x^2-9x+15) 5(4x-3) ^3+2(4x-3) ^2 = in this equation the common factor is (4x-3) so we will take that out of the equation. 5(4x-3) ^3+2(4x-3) ^2 = (4x-3) ^2 (5(4x-3) +2) = (4x-3) ^2 (20x-15+2) =(4x-3) ^2 (20x-13) Factoring Quadratics: When factoring quadratics, with the constant you see what two numbers can multiply to get the constant and you need to ma