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Senior Secondary

Further Mathematics

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1,197 prompts matching "Distinguishing rational and irrational numbers"

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Spot My Mistake: The power law of logarithms

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WAEC Prep: The change of base formula for logarithms

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Common Mistakes: Solving an exponential equation using logarithms

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Final Revision: Sketching the graph of a logarithmic function

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Quiz: Forming a quadratic equation whose roots are given

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

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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WAEC Prep: Forming an equation whose roots are each two more than the original

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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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Final Revision: Solving a disguised quadratic by substitution

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Quiz: Finding alpha cubed plus beta cubed

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Show All Working: Finding a coefficient given a stated relation between the roots

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

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