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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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754 prompts matching "Structured question: arrangements with a restriction"

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Common Mistakes: Roots that are reciprocals of one another

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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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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Show All Working: Forming an equation whose roots are three alpha and three beta

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Common Mistakes: A symmetric function needing the sum and product twice over

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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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Explain Back: Writing the answers as ordered pairs

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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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Worked Example: The discriminant used as the test for 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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Show All Working: The point of contact when a line touches a curve

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Worked Example: The degree of a polynomial in one variable

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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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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: Multiplying one polynomial by another

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