1,332 prompts matching "Practice: The condition for the line to be a tangent"
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Learn: Simplifying a surd by extracting the largest perfect square
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Quiz: Multiplying two surds and simplifying the result
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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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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Quiz: Forming a quadratic equation whose roots are given
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Learn: The degree of a polynomial and its leading coefficient
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Practice: Choosing a committee that must contain one particular person
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