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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,132 prompts matching "Learn: Solving a cubic once it has been factorised"

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Practice: The condition for a quadratic equation to have equal roots

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Show All Working: Solving a quadratic by completing the square

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

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Learn: Finding alpha squared plus beta squared from the sum and product

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Worked Example: Evaluating a polynomial by substitution

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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: The sum of the products of the roots of a cubic taken two at a time

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

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

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WAEC Prep: Writing a solution set in interval notation

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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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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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Explain Back: Choosing a committee with a stated number from each of two groups

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

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WAEC Prep: Pascal's triangle and the combination numbers in it

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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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Show All Working: The half angle formulae and the t-substitution

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