1,038 prompts matching "IGCSE Additional Maths Y10: Solving a cubic equation from its factors — Explain"
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Worked Example: The product of the roots as c over a
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WAEC Prep: Checking the sum and product against the solved roots
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Show All Working: Roots equal in magnitude but opposite in sign
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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Explain Back: The value of alpha minus beta, all 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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Final Revision: Using a symmetric function to find an unknown coefficient
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Worked Example: Substituting into the quadratic and tidying up
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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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WAEC Prep: A pair that gives no real solution at all
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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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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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Show All Working: The point of contact when a line touches a curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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