1,043 prompts matching "Proving a logarithmic identity from the laws"
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Learn: What makes an expression in the roots symmetric
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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Learn: Making one unknown the subject of the linear equation
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Practice: Finding the matching value of the second unknown
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Learn: Forming the quadratic that decides where a line meets a curve
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Quiz: The condition for two points of intersection
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Practice: The condition for the line to be a tangent
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Quiz: The leading term and the constant term
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Learn: Setting out the division of a cubic by a linear expression
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Learn: The statement of the remainder theorem
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Quiz: The remainder on dividing by x plus 2
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Practice: The remainder on dividing by 2x minus 1
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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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Practice: Factorising a quartic as the product of two quadratics
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Common Mistakes: A cubic equation arising from a volume problem
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Quiz: The truth value of a simple proposition
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Practice: The conjunction of two propositions
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Final Revision: A compound proposition built from three simple ones
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