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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Solving for x when three terms are in arithmetic progression"

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Explain Back: The laws of logarithms for a product and for a quotient

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Common Mistakes: Solving an exponential equation using logarithms

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Worked Example: The discriminant, and what each of its three cases means

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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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WAEC Prep: Sketching a cubic from its factorised form

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Three roots in geometric progression in a cubic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Solving an inequality that involves a modulus

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Show All Working: Solving a pair of simultaneous linear inequalities

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Practice: The compound angle formula for cosine of A minus B

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Explain Back: The compound angle formula for tan of A plus B

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Show All Working: The half angle formulae and the t-substitution

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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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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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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Worked Example: The midpoint formula applied to a given segment

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