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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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979 prompts matching "Common mistakes with set notation"

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

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Quiz: Forming a quadratic equation whose roots are given

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Show All Working: Solving a quadratic by completing the square

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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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Quiz: Finding alpha cubed plus beta cubed

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Show All Working: Finding a coefficient given a stated relation between the roots

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Worked Example: Evaluating a polynomial by substitution

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Show All Working: Solving a cubic equation by factorisation

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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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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Show All Working: Three roots in arithmetic 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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Quiz: Solving a quadratic inequality using a sign table

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Show All Working: Solving a pair of simultaneous linear inequalities

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Worked Example: The number of arrangements of n different objects in a row

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