1,043 prompts matching "Learn: The parabola y squared equals 4ax, with its focus and directrix"
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Practice: Polynomial notation such as P of x
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Explain Back: Evaluating P of 2 for a given polynomial
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Show All Working: Adding and subtracting two polynomials
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Practice: A division that leaves no remainder
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Explain Back: A division that leaves a constant remainder
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Show All Working: A remainder of nought, and what it means
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Worked Example: Testing a list of candidates to find a factor
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Explain Back: Finding a coefficient so that a stated expression is a factor
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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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Practice: What logical equivalence means
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