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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Why 2 root 3 and 5 root 3 count as similar surds"

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

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Worked Example: The difference between a permutation and a combination

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Worked Example: The shape, period and range of the cosine curve

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Worked Example: The equation of a circle with a given centre and radius

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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What a function is and function notation

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Mapping diagrams and function types

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Domain and range of an inverse function

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Explaining function notation to a classmate

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