698 prompts matching "Solving a quadratic whose discriminant is negative"
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Common Mistakes: Checking a completed square by expanding it again
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Explain Back: Leaving the roots of a quadratic in surd form
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Quiz: Finding the sum and the product without solving the equation
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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Common Mistakes: Roots that are reciprocals of one another
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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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Show All Working: A simultaneous pair in which the second equation is a circle
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Common Mistakes: Multiplying one polynomial by another
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Learn: Setting out the division of a cubic by a linear expression
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Worked Example: The division algorithm for polynomials
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Quiz: Dividing a quartic by a quadratic
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Practice: A division that leaves no remainder
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Explain Back: A division that leaves a constant remainder
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