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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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971 prompts matching "Raising a complex number to a power by de Moivre's theorem"

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Explain Back: Finding a coefficient so that a stated expression is a factor

I have just studied finding a coefficient so that a stated expression is a factor in my SS

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Spot My Mistake: The factor theorem applied to a quartic

Act as my SS2 Further Mathematics tutor. Work a question on the factor theorem applied to

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Show All Working: What the factor theorem says about the roots

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Practice: Factorising a quartic as the product of two quadratics

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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Explain Back: A polynomial with a repeated linear factor

I have just studied a polynomial with a repeated linear factor in my SS2 Further Mathemati

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Spot My Mistake: Factorising the sum of two cubes

Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub

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Show All Working: Factorising a polynomial with fractional roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p

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Final Revision: Checking a root of a cubic by substitution

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Comparing two statements by their truth tables

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Quiz: Why a conditional with a false antecedent counts as true

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Quiz: The biconditional as two conditionals taken together

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Spot My Mistake: De Morgan's laws in logic

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Final Revision: A biconditional used in a mathematical definition

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Practice: Showing that a statement is a tautology

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Spot My Mistake: The law of the excluded middle

Act as my SS2 Further Mathematics tutor. Work a question on the law of the excluded middle

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Show All Working: The negation of a tautology

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the negation of

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Practice: Modus tollens

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Common Mistakes: The fallacy of denying the antecedent

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Common Mistakes: Arranging objects when some must stay in a fixed order

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