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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,003 prompts matching "Learn: Solving an equation by writing both sides to the same base"

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Final Revision: Using a symmetric function to find an unknown coefficient

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Worked Example: Substituting into the quadratic and tidying up

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

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

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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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Spot My Mistake: Finding the values of c for which a line is a tangent

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

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Final Revision: A word problem about a line and a parabola

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Quiz: The leading term and the constant term

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WAEC Prep: Expressions that are not polynomials, and why not

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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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Worked Example: Testing a list of candidates to find 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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Practice: A cubic with one real root and two complex ones

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