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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 "Combining several index laws in one simplification"

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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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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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Show All Working: Expressing a number in the form a root b

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

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

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

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Show All Working: Solving a quadratic by completing the square

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Practice: Finding alpha minus beta from the sum and the product

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

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Show All Working: Finding a coefficient given a stated relation between the roots

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

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

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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