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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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995 prompts matching "Learn: What makes a sequence an arithmetic progression"

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Common Mistakes: A sign error in the formula, and how to catch it

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Learn: The sum of the roots as minus b over a

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Common Mistakes: Roots that are reciprocals of one another

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Common Mistakes: A symmetric function needing the sum and product twice over

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Learn: Making one unknown the subject of the linear equation

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Explain Back: Writing the answers as ordered pairs

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Learn: Forming the quadratic that decides where a line meets a curve

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

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Common Mistakes: Multiplying one polynomial by another

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Learn: Setting out the division of a cubic by a linear expression

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Explain Back: A division that leaves a constant remainder

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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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Learn: The statement of the factor theorem

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

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Learn: Factorising a cubic into three linear factors

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Common Mistakes: Factorising fully, and knowing when to stop

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Learn: Solving a cubic once it has been factorised

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Common Mistakes: Translating a symbolic statement back into English

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