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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Simplifying the answer once the denominator is rational"

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Learn: Making one unknown the subject of the linear equation

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Quiz: Solving the quadratic that results from the substitution

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Spot My Mistake: A pair with equal roots, meaning one solution only

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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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Quiz: The condition for two points of intersection

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Quiz: The leading term and the constant term

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Spot My Mistake: A polynomial written in descending powers

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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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Learn: The statement of the remainder theorem

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Quiz: The remainder on dividing by x plus 2

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Spot My Mistake: Finding two coefficients from two remainder conditions

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Learn: The statement of the factor theorem

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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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Learn: Factorising a cubic into three linear factors

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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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