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Senior Secondary

Further Mathematics

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1,334 prompts matching "The general term when one term in the bracket is negative"

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

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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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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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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Common Mistakes: The range of values of x for which an expression stays positive

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Worked Example: The number of arrangements of n different objects in a row

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Practice: Arrangements when some of the objects are identical

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Explain Back: Arrangements in which two particular objects must stay together

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Show All Working: Arrangements of the letters of a given word

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

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Worked Example: The difference between a permutation and a combination

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Practice: Choosing a committee that must contain one particular person

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Show All Working: Counting the handshakes, or the lines joining n points

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