910 prompts matching "Expanding cos of 3 theta using de Moivre's theorem"
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Final Revision: Checking both solutions in both equations
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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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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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: Multiplying one polynomial by another
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Quiz: Dividing a quartic by a quadratic
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Show All Working: Synthetic division as a shorter route
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Quiz: Which values are worth testing as factors
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Explain Back: Finding a coefficient so that a stated expression is a factor
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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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Explain Back: A polynomial with a repeated linear factor
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Show All Working: Factorising a polynomial with fractional roots
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Common Mistakes: Factorising fully, and knowing when to stop
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Learn: Solving a cubic once it has been factorised
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Quiz: A cubic with three distinct real roots
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