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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,267 prompts matching "Quiz: Writing a recurring decimal as a fraction to show it is rational"

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

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Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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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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Learn: The degree of a polynomial and its leading coefficient

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Worked Example: Evaluating a polynomial by substitution

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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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Learn: The sum of the roots of a cubic read from its coefficients

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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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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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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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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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Worked Example: Solving a quadratic inequality by sketching the parabola

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