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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "The inverse of the identity element itself"

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

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Learn: The degree of a polynomial and its leading coefficient

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

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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: Showing the solution of an inequality on a number line

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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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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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Show All Working: Arrangements of the letters of a given word

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

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

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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Quiz: The compound angle formula for sine of A plus B

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