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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,008 prompts matching "Using change of base to prove a stated relation"

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Solve 2x^2 + 7x + 3 = 0 by factorisation

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Solve x^2 - 3x - 10 = 0 by factorisation

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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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Quiz me on completing the square to find a turning point

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

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Find sum and product of roots of x^2 + 4x - 12 = 0

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Teach me conditions for a line and a curve to intersect

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Worked example: is this line tangent to this curve

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Teach me long division of polynomials

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Worked example: arranging letters of a word

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Teach me probability using permutations and combinations

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Worked example: probability of selecting a committee

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Spot my mistake in a combinatorial probability problem

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Worked example: expanding (x+y)^4 using Pascal's triangle

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Worked example: expanding (2x-3)^5 using the binomial formula

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