430 prompts matching "A lamp hanging from two wires, solved by Lami's theorem"
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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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Show All Working: Forming an equation whose roots are three alpha and three beta
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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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Show All Working: A simultaneous pair in which the second equation is a circle
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Learn: Forming the quadratic that decides where a line meets a curve
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Practice: The condition for the line to be a tangent
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Show All Working: The point of contact when a line touches a curve
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Learn: What makes an expression a polynomial
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Quiz: The leading term and the constant term
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Practice: Polynomial notation such as P of x
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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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Learn: The statement of the remainder theorem
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Show All Working: A remainder of nought, and what it means
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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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Practice: Showing that x plus 3 is a factor of a given polynomial
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Show All Working: What the factor theorem says about the roots
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