935 prompts matching "Rationalising a denominator with a surd and integer"
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Common Mistakes: Writing down the roots once the brackets are found
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Practice: Working through a quadratic by completing the square, step by step
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Practice: Giving the roots correct to two decimal places
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Show All Working: Roots equal in magnitude but opposite in sign
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Common Mistakes: Roots that are reciprocals of one another
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Practice: The value of alpha to the fourth plus beta to the fourth
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Practice: Finding the matching value of the second unknown
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Show All Working: A simultaneous pair in which the second equation is a circle
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Practice: The condition for the line to be a tangent
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Show All Working: The point of contact when a line touches a curve
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Practice: Polynomial notation such as P of x
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Common Mistakes: Multiplying one polynomial by another
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Practice: A division that leaves no remainder
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Show All Working: Synthetic division as a shorter route
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Practice: The remainder on dividing by 2x minus 1
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Common Mistakes: The remainder theorem applied to a quartic
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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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Practice: Factorising a quartic as the product of two quadratics
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