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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,325 prompts matching "IGCSE Additional Maths Y10: The line y equals x as the mirror for an inverse — W"

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

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Learn: The degree of a polynomial and its leading coefficient

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Learn: The sum of the roots of a cubic read from its coefficients

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Quiz: The product of the roots of a cubic

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Practice: Finding the third root of a cubic when two are known

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Spot My Mistake: The relations between roots and coefficients for a quartic

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

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

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

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Quiz: The number of arrangements of r objects chosen from n

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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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Final Revision: Counting the number plates or codes that can be formed under a rule

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

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

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