1,044 prompts matching "What Cramer's rule gives when the system is inconsistent"
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Quiz: Solving the quadratic that results from the substitution
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Practice: Finding the matching value of the second unknown
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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Quiz: The condition for two points of intersection
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Quiz: The leading term and the constant term
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Spot My Mistake: A polynomial written in descending powers
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Quiz: The remainder on dividing by x plus 2
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Practice: The remainder on dividing by 2x minus 1
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Spot My Mistake: Finding two coefficients from two remainder conditions
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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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Show All Working: Factorising a polynomial with fractional roots
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Common Mistakes: A cubic equation arising from a volume problem
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Quiz: The truth value of a simple proposition
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Practice: The conjunction of two propositions
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Show All Working: Translating an English sentence into logical symbols
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