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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Factorising a cubic into a linear and a quadratic factor"

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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Show All Working: Solving a quadratic by completing the square

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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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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Learn: The sum of the roots of a cubic read from its coefficients

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Quiz: The product of the roots of a cubic

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Practice: Finding the third root of a cubic when two are known

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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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Quiz: Solving a quadratic inequality using a sign table

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Show All Working: Solving a pair of simultaneous linear inequalities

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

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What a function is and function notation

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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