971 prompts matching "Raising a complex number to a power by de Moivre's theorem"
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Final Revision: A word problem solved with the quadratic formula
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Learn: Making one unknown the subject of the linear equation
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Final Revision: Checking both solutions in both equations
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Worked Example: The discriminant used as the test for intersection
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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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Show All Working: Adding and subtracting two polynomials
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Worked Example: The division algorithm for polynomials
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Show All Working: Synthetic division as a shorter route
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Final Revision: Writing the result of a polynomial division out in full
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