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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "A particle hanging in equilibrium on an elastic string"

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Common Mistakes: The remainder theorem applied to a quartic

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Final Revision: A word problem that uses the remainder theorem

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Worked Example: Testing a list of candidates to find a factor

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Common Mistakes: Using the factor theorem before dividing

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Final Revision: A factor theorem question set in the WAEC style

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Show All Working: Factorising a polynomial with fractional roots

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Learn: Solving a cubic once it has been factorised

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Worked Example: How many roots a cubic equation has

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Practice: A cubic with one real root and two complex ones

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Spot My Mistake: Finding the remaining roots once one is known

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WAEC Prep: The relation between the roots and the constant term

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Show All Working: Solving a cubic that must first be rearranged

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Common Mistakes: A cubic equation arising from a volume problem

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Final Revision: Checking a root of a cubic by substitution

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Show All Working: Translating an English sentence into logical symbols

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Final Revision: A compound proposition built from three simple ones

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Worked Example: Conjunction in a three-variable truth table

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Practice: Negation combined with a compound statement

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WAEC Prep: A truth table with three propositions in it

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