1,041 prompts matching "Dividing a line segment in a given ratio"
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Structured question: find coordinates of intersection points
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Worked Example: Factorising a quadratic whose leading coefficient is not one
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Show All Working: A quadratic whose two roots are both negative
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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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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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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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Show All Working: Synthetic division as a shorter route
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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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Show All Working: Factorising a polynomial with fractional roots
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