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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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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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