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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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705 prompts matching "Deciding whether a given rule really is a binary operation"

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

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Spot My Mistake: The value of alpha over beta plus beta over alpha

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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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Spot My Mistake: A pair with equal roots, meaning one solution only

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Show All Working: A simultaneous pair in which the second equation is a circle

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Common Mistakes: A word problem giving one linear and one quadratic equation

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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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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Final Revision: A word problem about a line and a parabola

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Spot My Mistake: A polynomial written in descending powers

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Common Mistakes: Multiplying one polynomial by another

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Final Revision: The degree of the product of two polynomials

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Learn: Setting out the division of a cubic by a linear expression

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Worked Example: The division algorithm for polynomials

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Practice: A division that leaves no remainder

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Show All Working: Synthetic division as a shorter route

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Common Mistakes: The degree of the quotient and of the remainder

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Spot My Mistake: Finding two coefficients from two remainder conditions

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