666 prompts matching "Learn: Deciding whether a stated matrix calculation is possible at all"
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Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Learn: What makes an expression a polynomial
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Spot My Mistake: A polynomial written in descending powers
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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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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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Final Revision: Writing the result of a polynomial division out in full
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Learn: The statement of the remainder theorem
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Spot My Mistake: Finding two coefficients from two remainder conditions
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WAEC Prep: The remainder theorem checked against long division
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Common Mistakes: The remainder theorem applied to a quartic
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Learn: The statement of the factor theorem
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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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Spot My Mistake: The factor theorem applied to a quartic
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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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