1,043 prompts matching "Learn: The parabola y squared equals 4ax, with its focus and directrix"
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Explain Back: The condition for the line never to meet the curve
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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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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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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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Practice: The conjunction of two propositions
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Explain Back: The disjunction of two propositions
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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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