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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 "A binary operation defined on a set of three elements"

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

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Explain Back: The laws of logarithms for a product and for a quotient

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Spot My Mistake: The power law of logarithms

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Learn: The sum and the product of the roots read from the coefficients

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Explain Back: The range of values of k for which the roots are real

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Worked Example: Finding one over alpha plus one over beta

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Learn: The degree of a polynomial and its leading coefficient

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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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Learn: The sum of the roots of a cubic read from its coefficients

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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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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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Practice: Arrangements when some of the objects are identical

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

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Worked Example: The difference between a permutation and a combination

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Quiz: Choosing a committee of r people from n

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