775 prompts matching "Structured question: cubic equation from three given roots"
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Learn: Probability as favourable outcomes over total outcomes
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Quiz: The probability of drawing two red balls
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Practice: The probability of drawing one ball of each colour
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Final Revision: A word problem about a lottery draw
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Learn: Building Pascal's triangle row by row
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Quiz: Expanding a bracket to the power four using Pascal's triangle
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Practice: The symmetry of a row of Pascal's triangle
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Final Revision: Expanding a bracket of the form a plus b over x
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Learn: The formula for the general term of an expansion
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Quiz: Finding the term in x cubed
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Practice: Finding the term independent of x
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Quiz me: solving quadratics by factorisation
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Explain the factorisation method back to me
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Worked example: word problem leading to a quadratic
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Quiz me on completing the square to find a turning point
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Derive the quadratic formula
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Use the quadratic formula on 2x^2 - 3x - 5 = 0
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Use the quadratic formula on x^2 + 4x - 7 = 0
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Use the quadratic formula on 3x^2 + 5x + 1 = 0
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Use the quadratic formula on x^2 - 2x - 2 = 0
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