718 prompts matching "Gradient of a line joining two points"
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Common Mistakes: A symmetric function needing the sum and product twice over
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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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Final Revision: Checking both solutions in both equations
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Worked Example: The discriminant used as the test for intersection
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Learn: What makes an expression a polynomial
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Common Mistakes: Multiplying one polynomial by another
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Worked Example: The division algorithm for polynomials
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Worked Example: The remainder on dividing by x minus 3
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Common Mistakes: The remainder theorem applied to a quartic
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Final Revision: A word problem that uses the remainder theorem
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Common Mistakes: Using the factor theorem before dividing
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Final Revision: A factor theorem question set in the WAEC style
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Common Mistakes: Factorising fully, and knowing when to stop
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Final Revision: Checking a factorisation by expanding it again
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Learn: Solving a cubic once it has been factorised
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Worked Example: How many roots a cubic equation has
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Common Mistakes: A cubic equation arising from a volume problem
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Learn: What makes a sentence a proposition
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