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In this video we’re going to discover how to factorise quadratics that don’t have 1 as the coefficient of the x-squared term. These are called non-monic quadratics. We can do it by trial and error and just spotting the factors, but this takes a lot of trial an error. Luckily there is a different method we can use instead, which we will looks at in this video.

Use the dynamic worksheet to practice simplifying expressions with fractional exponents, rewriting them as radicals.

The particle model of matter is one of the most useful scientific models because it describes matter in all three states. Understanding how the particles of matter behave is vital if we hope to understand science!

The model also helps us to understand what happens to the particles when matter changes from one state to another.

In this unit, you will explore the three phases of matter and then look at the properties and differences between them. You will explore their shape, volume, and kinetic energy.

In this unit you will learn about different materials by investigating and observing the behaviour of their properties. This will include learning about the differences between metals and non-metals; whether they are isolators or conductors of electricity and heat, whether they are magnetic, how dense they are and whether they are acidic or basic.

Outcomes

In this course you will learn how to:

1. Solve quadratic equations by factorisation.
2. Solve quadratic equations by using the quadratic formula.
3. Solve simultaneous equations involving quadratic equations
4. Solve word problems involving quadratic equations.

In this section, you will:

• Evaluate square roots.
• Use the product rule to simplify square roots.
• Use the quotient rule to simplify square roots.
• Add and subtract square roots.
• Rationalize denominators.
• Use rational roots.

Exercises requiring expressions to be re-written in 'Simple Radical Form'.

By the end of this unit you will be able to:

• Solve equations with a single variable which are called linear equations
• Solve equations with a single variable that is squared (quadratic equations) by factorisation.

By the end of this unit you will be able to:

• Solve a quadratic equation by completing the square.