**Question of the Week – Week 21**

The line has equation . Points and B (to the left of A) lie on such that . The line passes through , is perpendicular to and intersects at the point . The point lies on such that the length of times the length of . Find the area of the quadrilateral .

**Question of the Week – Week 20**

Use the first 3 terms of the binomial expansion of (in ascending powers of x) to find an approximation for .

**Question of the Week – Week 19**

Sketch the graph of where , labelling any points of intersection with the axes.

**Question of the Week – Week 16**

Given that (x-3) is a factor of , find all the exact solutions of where .