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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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924 prompts matching "Substituting a convenient value to find one constant"

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Common Mistakes: The remainder theorem applied to a quartic

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

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Show All Working: What the factor theorem says about the roots

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Common Mistakes: Using the factor theorem before dividing

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Practice: Factorising a quartic as the product of two quadratics

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WAEC Prep: Factorising the difference of two cubes

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: Factorising fully, and knowing when to stop

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

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Translating a symbolic statement back into English

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Practice: Showing that a statement is a tautology

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

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Show All Working: The negation of a tautology

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Practice: Modus tollens

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Practice: Circular arrangements with two people together

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

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WAEC Prep: A selection with at most a stated number of one kind

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