1,045 prompts matching "Showing that fg(x) is not the same as gf(x)"
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Practice: Giving the roots correct to two decimal places
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Explain Back: Leaving the roots of a quadratic in surd form
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Quiz: Finding the sum and the product without solving the equation
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Explain Back: The value of alpha minus beta, all squared
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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: Finding the matching value of the second unknown
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Final Revision: Checking both solutions in both equations
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Quiz: The condition for two points of intersection
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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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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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Quiz: The leading term and the constant term
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Spot My Mistake: A polynomial written in descending powers
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Worked Example: The remainder on dividing by x minus 3
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