1,333 prompts matching "One root twice the other, and what that gives"
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Quiz: The complement of a set within a stated universal set
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Explain Back: The symmetric difference of two sets
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Common Mistakes: Showing that intersection distributes over union
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Explain Back: Finding the identity element of a binary operation
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Final Revision: Deciding whether a set under an operation forms a group
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Quiz: Solving an index equation by writing both sides to the same base
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Spot My Mistake: The power law of logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Show All Working: Solving a quadratic by completing the square
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Practice: Factorising a cubic completely once one factor is known
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Spot My Mistake: Showing the solution of an inequality on a number line
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Common Mistakes: The range of values of x for which an expression stays positive
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Quiz: The number of arrangements of r objects chosen from n
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