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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Using a symmetric function to find an unknown coefficient"

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Practice: The difference of two sets, A minus B

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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Worked Example: Testing whether a binary operation is closed on a given set

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Quiz: Testing a binary operation for commutativity

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Practice: Testing a binary operation for associativity

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Learn: Simplifying a surd by extracting the largest perfect square

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Worked Example: Collecting like surds in a single sum

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Spot My Mistake: Squaring a bracket that contains a surd

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Final Revision: Proving that root 2 is irrational

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Spot My Mistake: The power law of logarithms

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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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Final Revision: Solving a disguised quadratic by substitution

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Worked Example: Evaluating a polynomial by substitution

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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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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: Choosing a committee of r people from n

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Practice: Choosing a committee that must contain one particular person

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