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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 "The sum and product of a pair of complex roots"

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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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Practice: Showing that x plus 3 is a factor of a given polynomial

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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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Common Mistakes: Factorising fully, and knowing when to stop

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Final Revision: Checking a factorisation by expanding it again

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Quiz: A cubic with three distinct real roots

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Common Mistakes: Comparing two statements by their truth tables

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Learn: The conditional statement, if p then q

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Show All Working: Why a conditional and its converse are not equivalent

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Show All Working: The distributive laws in logic

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Common Mistakes: Simplifying a compound statement using the laws

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Final Revision: A biconditional used in a mathematical definition

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WAEC Prep: A tautology used to justify a rule of algebra

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Final Revision: An argument written in words and tested for validity

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Quiz: Arrangements of a word with no repeated letters

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Practice: Arrangements of a word with repeated letters

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Show All Working: A circular arrangement with one fixed seat such as the head

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