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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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821 prompts matching "Structured question: find k so a cubic has a repeated root"

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Worked Example: The discriminant used as the test for intersection

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Learn: What makes an expression a polynomial

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Worked Example: The degree of a polynomial in one variable

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Common Mistakes: Multiplying one polynomial by another

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Worked Example: The division algorithm for polynomials

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

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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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Common Mistakes: The remainder theorem applied to a quartic

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Learn: The statement of the factor theorem

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Common Mistakes: Using the factor theorem before dividing

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Common Mistakes: Factorising fully, and knowing when to stop

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Learn: What makes a sentence a proposition

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Worked Example: Sentences that are not propositions

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Common Mistakes: Translating a symbolic statement back into English

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Learn: How many rows a truth table needs

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Worked Example: Conjunction in a three-variable truth table

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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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