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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Express in the form command word: completing the square"

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

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Spot My Mistake: Finding the inverse of an element under a binary operation

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Quiz: Multiplying two surds and simplifying the result

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

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

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Learn: The multiplication and division laws of indices used together

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Quiz: Solving an index equation by writing both sides to the same base

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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

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

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

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Learn: The degree of a polynomial and its leading coefficient

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Quiz: The factor theorem, and testing whether x minus a is a factor

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

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Practice: Finding the third root of a cubic when two are known

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Final Revision: Checking that the roots found satisfy the original equation

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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