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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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Plants have developed responses called tropisms. A tropism is a growth in response to a stimulus; so light and water in the plant’s case.
There are different types of tropisms: Positive tropisms are when growth is towards the stimulus - so the plant growing towards the light to maximise the stimul
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CREDITS
Animation & Design: Waldi Apollis
Narration: Dale Bennett
Script: Lucy Billings
Look at these baby animals. You will have immediately observed how cute and fluffy they are but you will
also have noticed that they are different -
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Enzymes are really important proteins, that speed up the rates of reactions such as in photosynthesis, respiration and protein synthesis.
The enzymes and substrates are always moving, and occasionally they collide at the right speed and