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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,032 prompts matching "Teach me Cramer's rule from first principles"

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Solve 3x^2 - 5x - 2 = 0 by factorisation

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Solve x^2 - 6x + 9 = 0 by factorisation

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Solve 2x^2 - 11x + 5 = 0 by factorisation

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Solve x^2 + x - 12 = 0 by factorisation

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Discriminant and the nature of roots

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Sum and product of roots of a cubic equation

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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

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

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Learn: Deriving the quadratic formula by completing the square

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Practice: Giving the roots correct to two decimal places

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Learn: The sum of the roots as minus b over a

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Practice: The value of alpha to the fourth plus beta to the fourth

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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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Practice: The condition for the line to be a tangent

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Learn: What makes an expression a polynomial

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