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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 imaginary unit i, and why i squared is minus one"

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Final Revision: Writing the result of a polynomial division out in full

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Practice: The remainder on dividing by 2x minus 1

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WAEC Prep: The remainder theorem checked against long division

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Common Mistakes: The remainder theorem applied to a quartic

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

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Practice: Factorising a quartic as the product of two quadratics

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Spot My Mistake: Factorising the sum of two cubes

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WAEC Prep: Factorising the difference of two cubes

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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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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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WAEC Prep: The symbols used for and, or and not

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Common Mistakes: Comparing two statements by their truth tables

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Learn: The biconditional, p if and only if q

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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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Common Mistakes: Deciding between tautology, contradiction and contingency

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