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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "Learn: Making the coefficient of x squared equal to one first"

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Worked Example: Collecting like surds in a single sum

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Spot My Mistake: Squaring a bracket that contains a surd

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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Common Mistakes: Solving an exponential equation using logarithms

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Quiz: Forming a quadratic equation whose roots are given

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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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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Explain Back: Forming a cubic equation whose three roots are given

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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

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Practice: Choosing a committee that must contain one particular person

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Explain Back: Solving a quadratic in sin x

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

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Common Mistakes: Identifying a conic from a general second-degree equation

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Practice: A uniform beam resting on two supports

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