1,329 prompts matching "IGCSE Additional Maths Y11: Giving an exact answer in terms of pi — Exam Techniq"
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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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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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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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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Practice: Finding the third root of a cubic when two are known
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Common Mistakes: Three roots in geometric progression in a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Practice: Choosing a committee that must contain one particular person
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Common Mistakes: Selections in which at least one of a kind must appear
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Final Revision: Losing solutions by dividing through by cos x
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Practice: The effect of a in y equals a sin x
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Worked Example: The midpoint formula applied to a given segment
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Practice: The equation of a line through a point with a given gradient
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