991 prompts matching "Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts"
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Common Mistakes: Writing down the roots once the brackets are found
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Learn: Making the coefficient of x squared equal to one first
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Spot My Mistake: Completing the square when the roots are not real
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Learn: The sum of the roots as minus b over a
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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Practice: The value of alpha to the fourth plus beta to the fourth
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Explain Back: The value of alpha minus beta, all squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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Learn: Making one unknown the subject of the linear equation
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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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Final Revision: Checking both solutions in both equations
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Learn: What makes an expression a polynomial
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