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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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413 prompts matching "Learn: What makes two surds similar"

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Worked Example: The degree of a polynomial in one variable

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Explain Back: Evaluating P of 2 for a given polynomial

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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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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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Worked Example: The remainder on dividing by x minus 3

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Explain Back: Finding a coefficient when the remainder is given

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Common Mistakes: The remainder theorem applied to a quartic

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Worked Example: Testing a list of candidates to find a factor

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Explain Back: Finding a coefficient so that a stated expression is a factor

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Common Mistakes: Using the factor theorem before dividing

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Explain Back: A polynomial with a repeated linear factor

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Common Mistakes: Factorising fully, and knowing when to stop

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Worked Example: How many roots a cubic equation has

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Explain Back: A cubic with a repeated root

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Common Mistakes: A cubic equation arising from a volume problem

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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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