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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,035 prompts matching "A binary operation defined on a set of three elements"

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Explain Back: The value of alpha minus beta, all squared

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

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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WAEC Prep: A pair that gives no real solution at all

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Worked Example: The discriminant used as the test for intersection

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Spot My Mistake: Finding the values of c for which a line is a tangent

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Learn: What makes an expression a polynomial

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Explain Back: Evaluating P of 2 for a given polynomial

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WAEC Prep: Expressions that are not polynomials, and why not

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Worked Example: The division algorithm for polynomials

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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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WAEC Prep: The remainder theorem checked against long division

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Learn: The statement of the factor theorem

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

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Practice: Factorising a quartic as the product of two quadratics

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Spot My Mistake: Factorising the sum of two cubes

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Learn: Solving a cubic once it has been factorised

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Worked Example: How many roots a cubic equation has

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Quiz: A cubic with three distinct real roots

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