522 prompts matching "Quiz: Testing a binary operation for commutativity"
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Spot My Mistake: Finding a missing coefficient from a stated product 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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Practice: The value of alpha to the fourth plus beta to the fourth
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Learn: Making one unknown the subject of the linear equation
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Worked Example: Substituting into the quadratic and tidying up
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Practice: Finding the matching value of the second unknown
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Learn: What makes an expression a polynomial
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Worked Example: The degree of a polynomial in one variable
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Practice: Polynomial notation such as P of x
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Spot My Mistake: A polynomial written in descending powers
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Learn: Setting out the division of a cubic by a linear expression
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Practice: A division that leaves no remainder
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Spot My Mistake: A division that leaves a linear 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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