831 prompts matching "Structured question: geometric progression with two given terms"
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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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Explain Back: Writing the answers as ordered pairs
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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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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Common Mistakes: Multiplying one polynomial by another
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Worked Example: The division algorithm for polynomials
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Practice: A division that leaves no remainder
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Explain Back: A division that leaves a constant remainder
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The degree of the quotient and of the remainder
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Worked Example: The remainder on dividing by x minus 3
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Practice: The remainder on dividing by 2x minus 1
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Show All Working: A remainder of nought, and what it means
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