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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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901 prompts matching "Index equations reducing to a quadratic"

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Practice: Giving the roots correct to two decimal places

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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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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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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

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Final Revision: Using a symmetric function to find an unknown coefficient

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

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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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WAEC Prep: Dividing by a factor of the form ax plus b

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Common Mistakes: The remainder theorem applied to a quartic

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Learn: The statement of the factor theorem

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Worked Example: Testing a list of candidates to find a factor

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Quiz: Which values are worth testing as factors

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Practice: Showing that x plus 3 is a factor of a given polynomial

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Explain Back: Finding a coefficient so that a stated expression is a factor

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Spot My Mistake: The factor theorem applied to a quartic

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