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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,007 prompts matching "Two bodies that coalesce on impact"

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Explain back: completing the square when the coefficient of x squared is not one

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Learn: Factorising a quadratic whose coefficient of x squared is one

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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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Final Revision: A word problem solved by factorising a quadratic

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Learn: Making the coefficient of x squared equal to one first

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Quiz: Completing the square on x squared plus 6x

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Final Revision: Why completing the square always works

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Final Revision: A word problem solved with the quadratic formula

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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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Learn: What makes an expression in the roots symmetric

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Quiz: The value of one over alpha squared plus one over beta squared

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

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Final Revision: Using a symmetric function to find an unknown coefficient

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Learn: Making one unknown the subject of the linear equation

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Practice: Finding the matching value of the second unknown

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

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Final Revision: Checking both solutions in both equations

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Worked Example: The discriminant used as the test for intersection

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