1,043 prompts matching "Structured question: simplifying a surd raised to a fractional index"
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Worked Example: Factorising a quadratic whose leading coefficient is not one
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Quiz: Factorising a difference of two squares in order to solve it
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Practice: Factorising a quadratic with a common factor taken out first
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Spot My Mistake: Solving a quadratic that must be rearranged before factorising
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Final Revision: A word problem solved by factorising a quadratic
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Learn: Making the coefficient of x squared equal to one first
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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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Practice: Giving the roots correct to two decimal places
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Practice: The value of alpha to the fourth plus beta to the fourth
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Final Revision: Using a symmetric function to find an unknown coefficient
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Worked Example: Substituting into the quadratic and tidying up
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Show All Working: The point of contact when a line touches a curve
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WAEC Prep: Dividing by a factor of the form ax plus b
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Common Mistakes: The remainder theorem applied to a quartic
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