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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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889 prompts matching "Show that command word: a function is its own inverse"

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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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Worked Example: Substituting a, b and c into the quadratic formula correctly

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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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Worked Example: The product of the roots as c over a

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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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

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Worked Example: Substituting into the quadratic and tidying up

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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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Worked Example: The degree of a polynomial in one variable

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Practice: Polynomial notation such as P of x

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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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Practice: The remainder on dividing by 2x minus 1

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Learn: The statement of the factor theorem

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Worked Example: How many roots a cubic equation has

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