1,001 prompts matching "Forming an equation whose roots are alpha over beta and beta over alpha"
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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Quiz: The leading term and the constant term
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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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Explain Back: A division that leaves a constant remainder
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Common Mistakes: The degree of the quotient and of the 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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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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Final Revision: Checking a factorisation by expanding it again
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Explain Back: A cubic with a repeated root
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Show All Working: Solving a cubic that must first be rearranged
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WAEC Prep: The symbols used for and, or and not
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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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