1,022 prompts matching "Solving a surd equation that gives an extraneous root"
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Quiz: A negative value of b in the quadratic formula
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Quiz: The value of one over alpha squared plus one over beta squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Quiz: The condition for two points of intersection
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Worked Example: The degree of a polynomial in one variable
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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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Worked Example: The division algorithm for polynomials
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Quiz: Dividing a quartic by a quadratic
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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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Quiz: Which values are worth testing as factors
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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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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: What makes a sentence a proposition
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