925 prompts matching "Finding a missing coefficient from a stated product of roots"
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Quiz: The factor theorem, and testing whether x minus a is a factor
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Practice: Factorising a cubic completely once one factor is known
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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Quiz: Solving a quadratic inequality using a sign table
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Practice: Solving an inequality with the unknown in the denominator
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Practice: Choosing a committee that must contain one particular person
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Show All Working: Counting the handshakes, or the lines joining n points
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Final Revision: Combinations used with the addition and multiplication principles
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Show All Working: The half angle formulae and the t-substitution
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Final Revision: Proving an identity by working on one side only
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Show All Working: Solving a cos x plus b sin x equals c by the R method
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Final Revision: Losing solutions by dividing through by cos x
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Quiz: The tangent curve and its asymptotes
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Common Mistakes: The condition for a line to be a tangent to a circle
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Practice: The ellipse in standard form, and its two axes
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Show All Working: The rectangular hyperbola xy equals c squared
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