1,044 prompts matching "The focus-directrix definition shared by all the conics"
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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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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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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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Worked Example: Substituting into the quadratic and tidying up
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Quiz: Solving the quadratic that results from the substitution
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Learn: Forming the quadratic that decides where a line meets a curve
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Worked Example: The discriminant used as the test for intersection
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Quiz: The condition for two points of intersection
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Spot My Mistake: Finding the values of c for which a line is a tangent
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WAEC Prep: Finding the values of m for which a line cuts a curve twice
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Final Revision: The degree of the product of two polynomials
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Worked Example: The division algorithm for polynomials
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