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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,302 prompts matching "Simplifying an algebraic fraction by factorising first"

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Final Revision: Sketching the graph of a logarithmic function

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Quiz: Forming a quadratic equation whose roots are given

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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WAEC Prep: Sketching a cubic from its factorised form

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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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Quiz: The product of the roots of a cubic

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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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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Quiz: Solving a quadratic inequality using a sign table

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WAEC Prep: Writing a solution set in interval notation

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WAEC Prep: Circular permutations of n objects round a table

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Quiz: Choosing a committee of r people from n

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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