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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me on polynomial division by a quadratic divisor"

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Worked Example: The discriminant, and what each of its three cases means

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Worked Example: Finding one over alpha plus one over beta

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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

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Practice: Factorising a cubic completely once one factor is known

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Explain Back: Forming a cubic equation whose three roots are given

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

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Spot My Mistake: Showing the solution of an inequality on a number line

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WAEC Prep: Writing a solution set in interval notation

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Common Mistakes: The range of values of x for which an expression stays positive

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

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Learn: The meaning of n factorial, and how to evaluate it

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Worked Example: The number of arrangements of n different objects in a row

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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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