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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "IGCSE Additional Maths Y10: The condition for a line to touch a curve — Explain"

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Practice: Factorising a quadratic with a common factor taken out first

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Show All Working: A quadratic whose two roots are both negative

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

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Learn: What makes an expression a polynomial

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Practice: Polynomial notation such as P of x

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Spot My Mistake: A polynomial written in descending powers

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Show All Working: Adding and subtracting two polynomials

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Quiz: Dividing a quartic by a quadratic

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Practice: A division that leaves no remainder

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Show All Working: A remainder of nought, and what it means

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Quiz: Which values are worth testing as factors

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Practice: Showing that x plus 3 is a factor of a given polynomial

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Quiz: Factorising a polynomial by grouping terms

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Show All Working: Factorising a polynomial with fractional roots

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Learn: Solving a cubic once it has been factorised

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Quiz: A cubic with three distinct real roots

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Practice: A cubic with one real root and two complex ones

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Show All Working: Solving a cubic that must first be rearranged

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