1,323 prompts matching "Writing the answers as ordered pairs"
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Finding one over alpha plus one over beta
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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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Practice: Factorising a cubic completely once one factor is known
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Explain Back: Forming a cubic equation whose three roots are given
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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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Practice: Choosing a committee that must contain one particular person
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Explain Back: Choosing a committee with a stated number from each of two groups
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Final Revision: Proving an identity by working on one side only
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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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Final Revision: Losing solutions by dividing through by cos x
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Common Mistakes: Identifying a conic from a general second-degree equation
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Practice: A uniform beam resting on two supports
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Learn: Two particles joined by a light inextensible string over a smooth pulley
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