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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "find the coefficient of x^4 in the expansion of (1+3x)^7"

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Spot My Mistake: The power law of logarithms

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WAEC Prep: The change of base formula for logarithms

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Show All Working: Solving a quadratic by completing the square

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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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Explain Back: Finding alpha squared beta plus alpha beta squared

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

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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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Spot My Mistake: The relations between roots and coefficients for a quartic

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Final Revision: Checking that the roots found satisfy the original equation

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Show All Working: Solving a pair of simultaneous linear inequalities

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Common Mistakes: The range of values of x for which an expression stays positive

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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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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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Explain Back: Choosing a committee with a stated number from each of two groups

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