1,326 prompts matching "Quiz: Rationalising a denominator of the form one over 2 plus root 3"
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Spot My Mistake: Squaring a bracket that contains a surd
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Worked Example: Evaluating a polynomial by substitution
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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Explain Back: Solving an inequality that involves a modulus
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Explain Back: Solving a quadratic in sin x
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Common Mistakes: Identifying a conic from a general second-degree equation
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Show All Working: Replacing two parallel forces by a single resultant
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
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Explain Back: A particle on a rough table connected to a hanging particle
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Learn: Angular velocity, and how it relates to linear speed
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