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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "Forming an algebraic expression from a word problem"

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Final Revision: Solving a disguised quadratic by substitution

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Show All Working: Finding a coefficient given a stated relation between the roots

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Worked Example: Evaluating a polynomial by substitution

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Show All Working: Solving a cubic equation by factorisation

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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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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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WAEC Prep: Writing a solution set in interval notation

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WAEC Prep: Circular permutations of n objects round a table

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Common Mistakes: Selections in which at least one of a kind must appear

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Explain Back: Solving a quadratic in sin x

I have just studied solving a quadratic in sin x in my SS3 Further Mathematics class. Let

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