Part 1

An open topped box can be made from a sheet of cardboard measuring 50 cm by 30 cm by cutting out congruent squares from the four corners and folding up the sides.

a) Write a polynomial function to represent the volume of the box.

b) Determine the range of side lengths that are possible for each square that is cut out and removed that result in a volume greater than 4000 cm³

Part 2

Algebraically solvex42x32x2+7x+10>x3+x2+4