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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,005 prompts matching "Solving an equation by first applying a double angle formula"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Quiz: Factorising a difference of two squares in order to solve it

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WAEC Prep: A quadratic with a repeated root

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Common Mistakes: Writing down the roots once the brackets are found

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Quiz: Completing the square on x squared plus 6x

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Spot My Mistake: Completing the square when the roots are not real

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Final Revision: Why completing the square always works

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Quiz: A negative value of b in the quadratic formula

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Final Revision: A word problem solved with the quadratic formula

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

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Worked Example: The product of the roots as c over a

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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Quiz: The value of one over alpha squared plus one over beta squared

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Spot My Mistake: The value of alpha over beta plus beta over alpha

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WAEC Prep: A pair that gives no real solution at all

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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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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Worked Example: The degree of a polynomial in one variable

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Spot My Mistake: A polynomial written in descending powers

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