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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Checking that the roots found satisfy the original equation"

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Common Mistakes: Multiplying one polynomial by another

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on mul

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Practice: A division that leaves no remainder

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Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

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Show All Working: Synthetic division as a shorter route

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Common Mistakes: The degree of the quotient and of the remainder

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Common Mistakes: The remainder theorem applied to a quartic

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

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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

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Common Mistakes: Using the factor theorem before dividing

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Spot My Mistake: Factorising the sum of two cubes

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Final Revision: Checking a factorisation by expanding it again

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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

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

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Explain Back: A cubic with a repeated root

I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let

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

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

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Worked Example: Sentences that are not propositions

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Spot My Mistake: The negation of a proposition

Act as my SS2 Further Mathematics tutor. Work a question on the negation of a proposition

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Show All Working: Reading the final column of a truth table

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Common Mistakes: Comparing two statements by their truth tables

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