1,009 prompts matching "Practice: Deciding whether a point lies on a given line"
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Worked Example: Halving the coefficient of x and squaring it
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Explain Back: An answer left in surd form after completing the square
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Spot My Mistake: Completing the square when the roots are not real
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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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Spot My Mistake: What the formula gives when the discriminant is nought
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Show All Working: Choosing between factorising and the formula
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Worked Example: The product of the roots as c over a
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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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Show All Working: Roots equal in magnitude but opposite in sign
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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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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 polynomial written in descending powers
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Show All Working: Adding and subtracting two polynomials
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Show All Working: A remainder of nought, and what it means
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Worked Example: Testing a list of candidates to find a factor
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