823 prompts matching "Showing a set is not closed by a single counter-example"
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Common Mistakes: A sign error in the formula, and how to catch it
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Common Mistakes: A symmetric function needing the sum and product twice over
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The division algorithm for polynomials
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Common Mistakes: The degree of the quotient and of the remainder
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Worked Example: The remainder on dividing by x minus 3
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WAEC Prep: The remainder theorem checked against long division
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Common Mistakes: The remainder theorem applied to a quartic
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Worked Example: Testing a list of candidates to find a factor
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Common Mistakes: Using the factor theorem before dividing
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Learn: Factorising a cubic into three linear factors
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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WAEC Prep: Factorising the difference of two cubes
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Common Mistakes: Factorising fully, and knowing when to stop
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Learn: Solving a cubic once it has been factorised
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Common Mistakes: A cubic equation arising from a volume problem
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Worked Example: Sentences that are not propositions
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Common Mistakes: Translating a symbolic statement back into English
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