1,016 prompts matching "An element with no inverse under a given operation"
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Show All Working: A simultaneous pair in which the second equation is a circle
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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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Practice: The condition for the line to be a tangent
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Common Mistakes: The degree of the quotient and of the remainder
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Worked Example: Testing a list of candidates to find a factor
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Worked Example: How many roots a cubic equation has
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Show All Working: Solving a cubic that must first be rearranged
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Show All Working: Translating an English sentence into logical symbols
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Common Mistakes: Translating a symbolic statement back into English
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Practice: What logical equivalence means
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Common Mistakes: Deciding between tautology, contradiction and contingency
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Worked Example: Premises and conclusion
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Common Mistakes: The fallacy of denying the antecedent
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Worked Example: Arranging r of n objects in a line
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Show All Working: Arrangements of boys and girls alternately
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