572 prompts matching "Practice: Testing a binary operation for associativity"
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Learn: What makes an expression a polynomial
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Spot My Mistake: A polynomial written in descending powers
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Learn: Setting out the division of a cubic by a linear expression
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Quiz: Dividing a quartic by a quadratic
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Spot My Mistake: A division that leaves a linear remainder
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Learn: The statement of the remainder theorem
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Worked Example: The remainder on dividing by x minus 3
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Quiz: The remainder on dividing by x plus 2
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Spot My Mistake: Finding two coefficients from two remainder conditions
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Learn: The statement of the factor theorem
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Spot My Mistake: The factor theorem applied to a quartic
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Learn: Factorising a cubic into three linear factors
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Quiz: Factorising a polynomial by grouping terms
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Spot My Mistake: Factorising the sum of two cubes
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Learn: Solving a cubic once it has been factorised
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Worked Example: How many roots a cubic equation has
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Quiz: A cubic with three distinct real roots
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