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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The conjugate of a complex number, and how it is written"

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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Real-life application of sum and product of roots

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Express in the form command word: completing the square

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Non-calculator completing the square with fractional coefficients

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Common Mistakes: Writing down the roots once the brackets are found

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Common Mistakes: Checking a completed square by expanding it again

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Show All Working: Roots equal in magnitude but opposite in sign

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Common Mistakes: Roots that are reciprocals of one another

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Common Mistakes: A symmetric function needing the sum and product twice over

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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WAEC Prep: Dividing by a factor of the form ax plus b

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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WAEC Prep: Factorising the difference of two cubes

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: The fallacy of denying the antecedent

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Practice: Arrangements of a word with repeated letters

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