1,044 prompts matching "Practice: The condition for a quadratic equation to have equal roots"
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Worked Example: Halving the coefficient of x and squaring it
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Quiz: Completing the square on x squared plus 6x
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Spot My Mistake: Completing the square when the roots are not real
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Worked Example: The product of the roots as c over a
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Quiz: The value of one over alpha squared plus one over beta squared
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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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Explain Back: Writing the answers as ordered pairs
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Final Revision: Checking both solutions in both equations
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Worked Example: The remainder on dividing by x minus 3
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Quiz: The remainder on dividing by x plus 2
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Explain Back: Finding a coefficient when the remainder is given
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Worked Example: Testing a list of candidates to find a factor
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Quiz: Which values are worth testing as factors
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Explain Back: Finding a coefficient so that a stated expression is a factor
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Quiz: Factorising a polynomial by grouping terms
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Explain Back: A polynomial with a repeated linear factor
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Spot My Mistake: Finding the remaining roots once one is known
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