1,045 prompts matching "The position vector of a point dividing a line in a ratio"
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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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Practice: The value of alpha to the fourth plus beta to the fourth
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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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Worked Example: Substituting into the quadratic and tidying up
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Worked Example: The discriminant used as the test for intersection
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Explain Back: Evaluating P of 2 for a given polynomial
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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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Spot My Mistake: A division that leaves a linear remainder
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Common Mistakes: The remainder theorem applied to a quartic
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Final Revision: A word problem that uses the remainder theorem
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Learn: The statement of the factor theorem
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Practice: Showing that x plus 3 is a factor of a given polynomial
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WAEC Prep: The factor theorem for a factor of the form ax plus b
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Final Revision: A factor theorem question set in the WAEC style
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