1,044 prompts matching "What Cramer's rule gives when the system is inconsistent"
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Show All Working: A simultaneous pair in which the second equation is a circle
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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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Common Mistakes: Multiplying one polynomial by another
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Worked Example: The division algorithm for polynomials
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The degree of the quotient and of the remainder
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Common Mistakes: The remainder theorem applied to a quartic
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Spot My Mistake: The factor theorem applied to a quartic
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Common Mistakes: Using the factor theorem before dividing
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Spot My Mistake: The negation of a proposition
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Common Mistakes: Comparing two statements by their truth tables
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Spot My Mistake: The contrapositive of a conditional
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Show All Working: The distributive laws in logic
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Common Mistakes: Simplifying a compound statement using the laws
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Spot My Mistake: The law of the excluded middle
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Common Mistakes: The fallacy of denying the antecedent
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Common Mistakes: The number of ways of dividing a class into groups
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Common Mistakes: The link between Pascal's triangle and combinations
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