1,045 prompts matching "Treating the rth term of a binomial expansion as the one carrying the rth power"
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Quiz: Factorising a difference of two squares in order to solve it
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Common Mistakes: Writing down the roots once the brackets are found
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Learn: Deriving the quadratic formula by completing the square
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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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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Learn: What makes an expression in the roots symmetric
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Common Mistakes: A symmetric function needing the sum and product twice over
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Show All Working: A simultaneous pair in which the second equation is a circle
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Learn: Forming the quadratic that decides where a line meets a curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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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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Show All Working: What the factor theorem says about the roots
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Common Mistakes: Using the factor theorem before dividing
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