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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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429 prompts matching "A quadratic whose two roots are both negative"

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Final Revision: Proving that root 2 is irrational

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Quiz: Solving an index equation by writing both sides to the same base

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Final Revision: Solving a disguised quadratic by substitution

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Learn: Finding alpha squared plus beta squared from the sum and product

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Show All Working: Finding a coefficient given a stated relation between the roots

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Quiz: The product of the roots of a cubic

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Spot My Mistake: The relations between roots and coefficients for a quartic

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Arrangements when some of the objects are identical

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Explain Back: Arrangements in which two particular objects must stay together

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