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The Earth behaves like a giant bar magnet and as such there is a magnetic field present around it. The Earth’s magnetic field is thought to be caused by flowing liquid metals in the outer core of the planet which causes electric currents and a magnetic field.

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.

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.

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.

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

• Apply the zero-product law.
• Solve rational quadratic equations which have fractions with the unknown in the denominator.
• Factorise quadratic expressions to solve for the unknown variable.

There are a few different ways to solve quadratics: factorising, using the quadratic formula or by completing the square. In this video we look at solving by factorising.

An exploration of how the area under a force vs. position graph equals the work done by the force and solves some sample problems.

Outcomes

In this unit you will learn about:

• the concept of work
• understand that work is done by an applied force
• the concept of energy
• identify the different types of energy
• the concept of power

What exactly is energy? How can changes in force, energy, and simple machines move objects like roller coaster cars? How can machines help us do work? In this chapter, you will discover the answer to this question and many more, as you learn about work, energy, and simple machines.