Test your understanding of multiple roots, graphing, inequalities, and applications.
1. State the multiplicity of each root of $P(x)=(x-1)^3(x+2)^2(x-4)$. (2 marks)
2. Describe the end behaviour of $y=-3x^4+2x^3-x+5$. (2 marks)
3. Solve $(x-1)(x+2)(x-3)\ge0$. (3 marks)
4. A box with square base has height equal to twice the side of the base. If the volume is 250 cm³, find the dimensions. (3 marks)