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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 "Restricting the domain so an inverse exists"

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Common Mistakes: Checking a completed square by expanding it again

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Learn: Deriving the quadratic formula by completing the square

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Learn: The sum of the roots as minus b over a

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

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Learn: Making one unknown the subject of the linear equation

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WAEC Prep: A pair that gives no real solution at all

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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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Learn: Forming the quadratic that decides where a line meets a curve

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Learn: What makes an expression a polynomial

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Worked Example: The degree of a polynomial in one variable

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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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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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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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Common Mistakes: Using the factor theorem before dividing

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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