1,334 prompts matching "A binary operation that is ordinary addition in disguise"
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Quiz: Solving an index equation by writing both sides to the same base
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Practice: Converting between index form and logarithm form
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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Quiz: Forming a quadratic equation whose roots are given
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Explain Back: The range of values of k for which the roots are real
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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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Practice: Finding alpha minus beta from the sum and the product
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Worked Example: Evaluating a polynomial by substitution
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Practice: Finding the third root of a cubic when two are known
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Explain Back: Forming a cubic equation whose three roots are given
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Quiz: Solving a quadratic inequality using a sign table
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Practice: Solving an inequality with the unknown in the denominator
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Worked Example: The number of arrangements of n different objects in a row
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Explain Back: Arrangements in which two particular objects must stay together
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Worked Example: The difference between a permutation and a combination
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