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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 "Find the range of x for which y = x^3 - 3x is increasing"

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Common Mistakes: Writing down the roots once the brackets are found

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Worked Example: Halving the coefficient of x and squaring it

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Worked Example: The product of the roots as c over a

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Quiz: Finding the sum and the product without solving the equation

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Quiz: The value of one over alpha squared plus one over beta squared

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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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Practice: The condition for the line to be a tangent

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

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Worked Example: The degree of a polynomial in one variable

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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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Spot My Mistake: Finding two coefficients from two remainder conditions

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Common Mistakes: The remainder theorem applied to a quartic

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

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Quiz: The truth value of a simple proposition

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WAEC Prep: The symbols used for and, or and not

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Quiz: Disjunction and the inclusive or

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Common Mistakes: Comparing two statements by their truth tables

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