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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,040 prompts matching "Sum and product of roots of a cubic exam question"

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Worked example: finding and classifying a stationary point

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Worked example: solving a quadratic with complex roots

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Worked example: plotting a complex number on an Argand diagram

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WAEC question on measures of dispersion

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Summarise polynomials and the remainder/factor theorems for quick revision

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Summarise permutations and combinations for quick revision

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Summarise trigonometric identities and equations for quick revision

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Summarise sequences and series for quick revision

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Summarise logarithms and indices for quick revision

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Summarise measures of dispersion for quick revision

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: how many ways can a committee of 4 be chosen from 10 people

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: expand (x+2)^5 fully using the binomial theorem

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