1,039 prompts matching "IGCSE Additional Maths Y10: A simultaneous pair with only one solution — Explain"
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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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Explain Back: Evaluating P of 2 for a given polynomial
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Show All Working: Adding and subtracting two polynomials
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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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Explain Back: Finding a coefficient when the remainder is given
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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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