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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,312 prompts matching "Completing the square when the roots are not real"

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Common Mistakes: Showing that intersection distributes over union

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Practice: Testing a binary operation for associativity

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Show All Working: Solving an equation written in terms of a binary operation

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Worked Example: Collecting like surds in a single sum

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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Common Mistakes: Solving an exponential equation using logarithms

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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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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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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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Show All Working: Solving a pair of simultaneous linear inequalities

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WAEC Prep: Circular permutations of n objects round a table

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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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Final Revision: Proving an identity by working on one side only

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