831 prompts matching "Structured question: geometric progression with two given terms"
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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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Explain Back: Finding a coefficient so that a stated expression is a factor
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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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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Common Mistakes: Factorising fully, and knowing when to stop
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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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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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Common Mistakes: Translating a symbolic statement back into English
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Worked Example: Conjunction in a three-variable truth table
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Show All Working: Reading the final column of a truth table
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Worked Example: The truth table for the conditional
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Practice: The converse of a conditional
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Explain Back: The inverse of a conditional
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Show All Working: Why a conditional and its converse are not equivalent
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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