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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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387 prompts matching "Geometric mean between two numbers"

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Worked Example: The discriminant, and what each of its three cases means

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WAEC Prep: Forming an equation whose roots are each two more than the original

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

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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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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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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Common Mistakes: Three roots in geometric progression in a cubic

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Spot My Mistake: Showing the solution of an inequality on a number line

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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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Explain Back: Arrangements in which two particular objects must stay together

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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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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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Quiz: The gradient of the line through two points

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