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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Finding a coefficient when the remainder is given"

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Show All Working: Solving a quadratic by completing the square

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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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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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Practice: Factorising a cubic completely once one factor is known

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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: Adding, subtracting and multiplying two polynomials

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Quiz: The product of the roots of a cubic

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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Learn: The meaning of n factorial, and how to evaluate it

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Quiz: The number of arrangements of r objects chosen from n

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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Learn: The meaning of n choose r, and how to evaluate it

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Show All Working: Counting the handshakes, or the lines joining n points

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