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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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989 prompts matching "Expressing root 50 as a multiple of root 2"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Practice: Factorising a quadratic with a common factor taken out first

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Explain Back: The zero product rule, and why it works

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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Quiz: Completing the square on x squared plus 6x

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Practice: Working through a quadratic by completing the square, step by step

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Explain Back: An answer left in surd form after completing the square

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Spot My Mistake: What the formula gives when the discriminant is nought

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WAEC Prep: What the formula gives when the discriminant is negative

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

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Practice: Forming an equation from a given sum and product

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Worked Example: Substituting into the quadratic and tidying up

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Quiz: Solving the quadratic that results from the substitution

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

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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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Quiz: The leading term and the constant term

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Spot My Mistake: A polynomial written in descending powers

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