662 prompts matching "A set closed under one operation but not another"
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Worked Example: The product of the roots as c over a
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Learn: What makes an expression in the roots symmetric
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Explain Back: The value of alpha minus beta, all squared
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Worked Example: Substituting into the quadratic and tidying up
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Explain Back: Writing the answers as ordered pairs
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Learn: Forming the quadratic that decides where a line meets a curve
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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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Learn: What makes an expression a polynomial
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Explain Back: Evaluating P of 2 for a given polynomial
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Worked Example: The division algorithm for polynomials
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Explain Back: A division that leaves a constant remainder
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Learn: The statement of the remainder theorem
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Worked Example: The remainder on dividing by x minus 3
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Explain Back: Finding a coefficient when the remainder is given
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Learn: The statement of the factor theorem
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Worked Example: Testing a list of candidates to find a factor
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Explain Back: Finding a coefficient so that a stated expression is a factor
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