801 prompts matching "Solve 2x^2 - 5x - 12 = 0 with full exam working"
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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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Practice: The remainder on dividing by 2x minus 1
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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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Show All Working: What the factor theorem says about the roots
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Worked Example: How many roots a cubic equation has
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Practice: A cubic with one real root and two complex ones
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