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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,312 prompts matching "Completing the square when the roots are not real"

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Practice: The difference of two sets, A minus B

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WAEC Prep: The number of elements in the union of two sets

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Final Revision: The power set, and how many subsets a set of n elements has

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Worked Example: Testing whether a binary operation is closed on a given set

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Final Revision: Deciding whether a set under an operation forms a group

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WAEC Prep: Comparing the sizes of two surds without a calculator

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WAEC Prep: The change of base formula for logarithms

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Final Revision: Sketching the graph of a logarithmic function

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

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Practice: Finding alpha minus beta from the sum and the product

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

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Solving an inequality with the unknown in the denominator

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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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Worked Example: The number of arrangements of n different objects in a row

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

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Common Mistakes: Arrangements restricted at the first or the last place

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

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