705 prompts matching "Deciding whether a given rule really is a binary operation"
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Final Revision: One root twice the other, and what that gives
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Final Revision: Checking both solutions in both equations
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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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Final Revision: A word problem about a line and a parabola
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Spot My Mistake: A polynomial written in descending powers
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Common Mistakes: Multiplying one polynomial by another
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Final Revision: The degree of the product of two polynomials
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Learn: Setting out the division of a cubic by a linear expression
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Worked Example: The division algorithm for polynomials
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Practice: A division that leaves no remainder
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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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Spot My Mistake: Finding two coefficients from two remainder conditions
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