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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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940 prompts matching "WAEC exam question: forming a quadratic equation from a word problem"

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

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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Spot My Mistake: What the formula gives when the discriminant is nought

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Common Mistakes: A sign error in the formula, and how to catch it

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Common Mistakes: Roots that are reciprocals of one another

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Final Revision: One root twice the other, and what that gives

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

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Common Mistakes: A symmetric function needing the sum and product twice over

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

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

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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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Spot My Mistake: A polynomial written in descending powers

Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen

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Common Mistakes: Multiplying one polynomial by another

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Final Revision: The degree of the product of two polynomials

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Spot My Mistake: A division that leaves a linear remainder

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Common Mistakes: The degree of the quotient and of the remainder

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Final Revision: Writing the result of a polynomial division out in full

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Common Mistakes: The remainder theorem applied to a quartic

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