1,045 prompts matching "Counting the handshakes, or the lines joining n points"
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Worked example: finding and classifying a stationary point
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Find k command word: line tangent to a curve
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Worked Example: Halving the coefficient of x and squaring it
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Show All Working: Completing the square with a fractional coefficient of x
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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Learn: Making one unknown the subject of the linear equation
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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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Common Mistakes: A word problem giving one linear and one quadratic equation
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Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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Worked Example: The degree of a polynomial in one variable
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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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Show All Working: Synthetic division as a shorter route
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Worked Example: The remainder on dividing by x minus 3
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