856 prompts matching "Sum of a geometric series with a negative common ratio"
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The product of the roots as c over a
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Practice: Forming an equation from a given sum and product
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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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Explain Back: The value of alpha minus beta, all squared
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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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Common Mistakes: A word problem giving one linear and one quadratic equation
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Show All Working: The point of contact when a line touches a curve
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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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Explain Back: Evaluating P of 2 for a given polynomial
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Common Mistakes: Multiplying one polynomial by another
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Show All Working: A remainder of nought, and what it means
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Common Mistakes: The remainder theorem applied to a quartic
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Worked Example: Testing a list of candidates to find a factor
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Common Mistakes: Using the factor theorem before dividing
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Practice: Factorising a quartic as the product of two quadratics
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