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Further Mathematics

AI prompts for senior secondary learners.

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1,033 prompts matching "IGCSE Additional Maths Y10: Why only a one-one function has an inverse — IGCSE E"

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Common Mistakes: The degree of the quotient and of the remainder

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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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Show All Working: A remainder of nought, and what it means

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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: 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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Practice: The conjunction of two propositions

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

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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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