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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Teach me Writing out Pascal's triangle row by row"

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Practice: Factorising a cubic completely once one factor is known

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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

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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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Spot My Mistake: The relations between roots and coefficients for a quartic

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

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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

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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 difference between a permutation and a combination

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Quiz: Choosing a committee of r people from n

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Practice: Choosing a committee that must contain one particular person

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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

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Final Revision: Combinations used with the addition and multiplication principles

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

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