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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 "The solution when the quadratic expression is less than nought"

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

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Practice: Working through a quadratic by completing the square, step by step

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Explain Back: Leaving the roots of a quadratic in surd form

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Show All Working: Choosing between factorising and the formula

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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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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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Show All Working: A simultaneous pair in which the second equation is a circle

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Final Revision: Checking both solutions in both equations

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

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Common Mistakes: Multiplying one polynomial by another

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Show All Working: Synthetic division as a shorter route

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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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WAEC Prep: The remainder theorem checked against long division

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Common Mistakes: The remainder theorem applied to a quartic

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Spot My Mistake: The factor theorem applied to a quartic

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Common Mistakes: Using the factor theorem before dividing

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WAEC Prep: Factorising the difference of two cubes

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