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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,111 prompts matching "Factorising a quadratic whose leading coefficient is not one"

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Worked Example: Finding one over alpha plus one over beta

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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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WAEC Prep: Sketching a cubic from its factorised form

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Common Mistakes: Three roots in geometric progression in a cubic

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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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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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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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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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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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Spot My Mistake: The double angle formula for sine

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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Common Mistakes: Giving the general solution of a trigonometric equation

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