1,332 prompts matching "Using a symmetric function to find an unknown coefficient"
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Practice: The difference of two sets, A minus B
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Worked Example: Testing whether a binary operation is closed on a given set
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Spot My Mistake: Squaring a bracket that contains a surd
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Final Revision: Proving that root 2 is irrational
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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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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Evaluating a polynomial by substitution
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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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Quiz: Choosing a committee of r people from n
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Practice: Choosing a committee that must contain one particular person
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