413 prompts matching "Learn: What makes two surds similar"
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Worked Example: The degree of a polynomial in one variable
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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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Worked Example: The division algorithm for polynomials
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Explain Back: A division that leaves a constant remainder
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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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Explain Back: Finding a coefficient when the remainder is given
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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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Explain Back: Finding a coefficient so that a stated expression is a factor
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Common Mistakes: Using the factor theorem before dividing
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Explain Back: A polynomial with a repeated linear factor
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Common Mistakes: Factorising fully, and knowing when to stop
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Worked Example: How many roots a cubic equation has
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Explain Back: A cubic with a repeated root
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Common Mistakes: A cubic equation arising from a volume problem
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Worked Example: Sentences that are not propositions
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Common Mistakes: Translating a symbolic statement back into English
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