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In this video we’re going to discover how to factorise quadratics. Quadratics are expressions with x² as the highest power. Expanding and factorising are opposites. Factorising means to put into brackets, and with quadratics it is usually 2 brackets (x + 2)(x - 3). Each bracket is a factor. Let's factorise x² + 3x - 10. Start by putting down your two brackets, both with an ‘x’ at the front: (x )(x ). Now look at the number that is on it's own at the end: -10. What multiplies to give negative 10? 2 and 5, or 1 and 10. Which combination of those add to give the number in the middle: + 3? +5, -2. So put these into the brackets. (x + 5)(x - 2). And that is the quadratic factorised. It is really important to check yourself, so quickly expand your answer to double check you’ve factorised correctly. Quadratics that start as x-squared, so with no number in front of the x² are called monic quadratics. Quadratics that have a coefficient in front of the x-squared, like 3x2 are called non-monic quadratics. They are a little harder to factorise.
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An introduction to the chapter "Adapting and Living Together" within the Ecology and Environment topic of school Biology.
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SOHCAHTOA, Pythagoras, sine rule and cosine rule and all things trigonometry actually have a lot of uses in “real life”.
Such as working out distances to things, heights of buildings and mountains, navigation at sea. An important part of “useful” trigonometry are angles of elevation and depression.
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In this video we are going to look at what viruses are.
Viruses are a type of microorganism. They are too small to be seen with the naked eye: much smaller than bacteria, and about 100 times smaller than human cells. They come in many di