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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Finding the equation of a line parallel to the x-axis or y-axis through a point"

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Final Revision: A word problem solved by factorising a quadratic

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Final Revision: Why completing the square always works

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Learn: Deriving the quadratic formula by completing the square

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Final Revision: A word problem solved with the quadratic formula

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Practice: Forming an equation from a given sum and product

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Final Revision: One root twice the other, and what that gives

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Learn: What makes an expression in the roots symmetric

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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: The discriminant used as the test for intersection

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Practice: Polynomial notation such as P of x

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Explain Back: Evaluating P of 2 for a given 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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Spot My Mistake: A division that leaves a linear remainder

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Show All Working: Synthetic division as a shorter route

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Worked Example: The remainder on dividing by x minus 3

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Spot My Mistake: Finding two coefficients from two remainder conditions

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Show All Working: A remainder of nought, and what it means

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Final Revision: A word problem that uses the remainder theorem

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