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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "The distance connected particles travel before one reaches the floor"

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Final Revision: Why completing the square always works

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

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Explain Back: Leaving the roots of a quadratic in surd form

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

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Final Revision: A word problem solved with the quadratic formula

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

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

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Explain Back: The value of alpha minus beta, all squared

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Spot My Mistake: The value of alpha over beta plus beta over alpha

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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Worked Example: Substituting into the quadratic and tidying up

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Explain Back: Writing the answers as ordered pairs

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Spot My Mistake: A pair with equal roots, meaning one solution only

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Worked Example: The discriminant used as the test for intersection

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Explain Back: The condition for the line never to meet the curve

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Spot My Mistake: Finding the values of c for which a line is a tangent

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Final Revision: The degree of the product of two polynomials

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Worked Example: The division algorithm for polynomials

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Final Revision: Writing the result of a polynomial division out in full

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