980 prompts matching "Explain-back: my understanding of Cramer's rule"
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Common Mistakes: The remainder theorem applied to a quartic
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Show All Working: What the factor theorem says about the roots
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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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Show All Working: Factorising a polynomial with fractional roots
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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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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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Common Mistakes: A cubic equation arising from a volume problem
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Learn: What makes a sentence a proposition
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Worked Example: Sentences that are not propositions
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Show All Working: Translating an English sentence into logical symbols
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Learn: How many rows a truth table needs
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Worked Example: Conjunction in a three-variable truth table
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Common Mistakes: Comparing two statements by their truth tables
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Learn: The conditional statement, if p then q
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Worked Example: The truth table for the conditional
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Show All Working: Why a conditional and its converse are not equivalent
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