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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,321 prompts matching "Solving an exponential equation by taking logarithms of both sides"

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Final Revision: Deciding whether a set under an operation forms a group

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Learn: Simplifying a surd by extracting the largest perfect square

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Practice: Rationalising a denominator of the form root a

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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

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Worked Example: Evaluating a polynomial by substitution

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

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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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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Practice: Finding the third root of a cubic when two are known

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

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Quiz: Solving a quadratic inequality using a sign table

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WAEC Prep: Circular permutations of n objects round a table

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Common Mistakes: Arrangements restricted at the first or the last place

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Final Revision: Counting the number plates or codes that can be formed under a rule

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Quiz: Choosing a committee of r people from n

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