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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,328 prompts matching "Practice: A cubic with one real root and two complex ones"

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Show All Working: Expressing a number in the form a root b

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Common Mistakes: Solving an exponential equation using logarithms

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

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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

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Show All Working: Solving a cubic equation by factorisation

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Practice: Arrangements when some of the objects are identical

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

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Practice: The compound angle formula for cosine of A minus B

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

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Practice: Solving an equation of the form sin of 2x equals a given value

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

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Practice: The effect of a in y equals a sin x

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

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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