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Senior Secondary

Further Mathematics

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852 prompts matching "Drawing a two-set Venn diagram from data"

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

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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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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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

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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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Worked Example: Evaluating a polynomial by substitution

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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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Show All Working: Solving a cubic equation by factorisation

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Quiz: The product of the roots of a cubic

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

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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Show All Working: Solving a pair of simultaneous linear inequalities

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