A quadratic is any equation or expression that has a squared term. We solve these by factorising into a pair of double brackets. The numbers in the brackets need to multiply to make the end number and add to make the middle number. Negatives can be an issue with these so be particularly careful with the signs!

A quadratic that has a number at the front has a different process for factorising and solving. It is called the AC method. There are aspects from the previous video involved but our answers will look slightly different at the end.

This is a very specific type of quadratic that has one square number being subtracted from another square number. It will look a bit like a quadratic but without the middle term.

We will use completing the square when we cannot factorise or we are told to do so. The process changes how the quadratic looks so that we can rearrange and solve in a similar way to a normal equation.

When we have a number at the front there are a few extra steps. We factorise first so that it looks more similar to the previous module. We then repeat the same process before expanding the bracket. Our answers will be very similar to before, and we will do this if we cannot factorise or we are specifically told to do so.

The turning point of a quadratic is found once we have completed the square. This may also be called a minimum or a maximum point.

The quadratic formula is used on a calculator paper when we cannot factorise. We use the coefficients (numbers) in the quadratic and carefully place them into a given formula. The main issue here is with the "b" - if this is negative we need to either use brackets in the formula or consider this particularly carefully.

When we have inequality sign included we need to find the roots of our quadratic by using the previous techniques. Once we have these we can sketch a graph and find the parts of the graph that are either above or below the x-axis - this will depend on whether the inequality is a greater than or a less than.

The following worksheet will revisit all of the skills you have practiced throughout this block. This is a good chance to see where your quadratics are at and to get feedback on what may be worth recapping! Try and answer each question to the best of your ability, and if you need reminding you can watch the videos above. Good luck!