821 prompts matching "Structured question: find k so a cubic has a repeated root"
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Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Learn: What makes an expression a polynomial
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Worked Example: The degree of a polynomial in one variable
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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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Common Mistakes: The degree of the quotient and of the remainder
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Learn: The statement of the remainder theorem
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Worked Example: The remainder on dividing by x minus 3
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Common Mistakes: The remainder theorem applied to a quartic
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Learn: The statement of the factor theorem
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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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Learn: What makes a sentence a proposition
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Worked Example: Sentences that are not propositions
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Common Mistakes: Translating a symbolic statement back into English
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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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