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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain sum and product of roots back to me"

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Common Mistakes: Solving an exponential equation using logarithms

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Show All Working: Solving a quadratic by completing the square

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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Worked Example: Evaluating a polynomial by substitution

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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Common Mistakes: Arrangements restricted at the first or the last place

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Practice: Choosing a committee that must contain one particular person

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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Spot My Mistake: The double angle formula for sine

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Learn: The distance between two points

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Spot My Mistake: The general form ax plus by plus c equals nought

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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