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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Multi-part exam question on factorising trinomials"

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

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Final Revision: Solving a disguised quadratic by substitution

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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

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Explain Back: Forming a cubic equation whose three roots are given

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

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

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

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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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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Final Revision: Proving an identity by working on one side only

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