1,045 prompts matching "Structured question: combination problem with 'at least' condition"
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Explain Back: Writing the answers as ordered pairs
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Worked Example: The discriminant used as the test for intersection
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Show All Working: The point of contact when a line touches a curve
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Worked Example: The degree of a polynomial in one variable
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Show All Working: Adding and subtracting two polynomials
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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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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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Explain Back: Finding a coefficient when the remainder is given
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Common Mistakes: The remainder theorem applied to a quartic
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Common Mistakes: Using the factor theorem before dividing
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Common Mistakes: Factorising fully, and knowing when to stop
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Practice: The conjunction of two propositions
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Explain Back: The disjunction 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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Show All Working: The distributive laws in logic
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