791 prompts matching "Solve x^2 - 6x - 16 = 0 with full exam working"
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Final Revision: A word problem solved by factorising a quadratic
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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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Worked Example: Substituting a, b and c into the quadratic formula correctly
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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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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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Show All Working: Forming an equation whose roots are three alpha and three beta
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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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Worked Example: The discriminant used as the test for intersection
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Show All Working: The point of contact when a line touches a curve
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Worked Example: The degree of a polynomial in one variable
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Show All Working: Adding and subtracting two polynomials
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Worked Example: The division algorithm for polynomials
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Show All Working: Synthetic division as a shorter route
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Final Revision: Writing the result of a polynomial division out in full
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Worked Example: The remainder on dividing by x minus 3
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Show All Working: A remainder of nought, and what it means
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