991 prompts matching "Verifying an index law with numbers"
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Worked Example: The division algorithm for polynomials
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Practice: A division that leaves no remainder
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Show All Working: Synthetic division as a shorter route
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Worked Example: The remainder on dividing by x minus 3
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Practice: The remainder on dividing by 2x minus 1
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Common Mistakes: The remainder theorem applied to a quartic
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Practice: Showing that x plus 3 is a factor of a given polynomial
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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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Practice: Factorising a quartic as the product of two quadratics
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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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Practice: The conjunction of two propositions
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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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Common Mistakes: Comparing two statements by their truth tables
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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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Worked Example: The truth table for the biconditional
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Worked Example: What a contradiction is
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