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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Learn: The parabola y squared equals 4ax, with its focus and directrix"

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

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Practice: Polynomial notation such as P of x

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Explain Back: Evaluating P of 2 for a given polynomial

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Show All Working: Adding and subtracting two polynomials

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Practice: A division that leaves no remainder

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Explain Back: A division that leaves a constant remainder

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

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

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Practice: Showing that x plus 3 is a factor of a given polynomial

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

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Worked Example: Factorising a cubic into a linear and a quadratic 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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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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Worked Example: Sentences that are not 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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Worked Example: Conjunction in a three-variable truth table

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Practice: What logical equivalence means

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