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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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866 prompts matching "proving a statement is a tautology"

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

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Final Revision: Solving a disguised quadratic by substitution

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

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

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

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Common Mistakes: Three roots in geometric progression in a cubic

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

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

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

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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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Common Mistakes: Giving the general solution of a trigonometric equation

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Learn: The distance between two points

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