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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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409 prompts matching "Simplifying algebraic fractions that need factorising a quadratic first"

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Practice: Polynomial notation such as P of x

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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: Multiplying one polynomial by another

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Show All Working: Synthetic division as a shorter route

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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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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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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: A cubic with one real root and two complex ones

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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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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: Negation combined with a compound statement

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Show All Working: Reading the final column of a truth table

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Common Mistakes: Comparing two statements by their truth tables

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Practice: The converse of a conditional

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

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