1. Is it possible to solve a quadratic equation if it does not factorise?

Yes, but it may require a special formula called the Quadratic Formula which you may study later or other more advanced techniques.

2. How can a graph be used to solve a quadratic equation?

By looking at the graph of a quadratic function and reading off the x-intercepts (i.e. Put y = 0)

3. What happens if a quadratic expression factorises to two brackets which are the same?

This gives two roots (solutions) which are the same, called repeated roots.