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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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720 prompts matching "Power set of a three-element set"

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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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WAEC Prep: What the formula gives when the discriminant is negative

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WAEC Prep: Checking the sum and product against the solved roots

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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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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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Worked Example: Substituting into the quadratic and tidying up

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WAEC Prep: A pair that gives no real solution at all

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Learn: Forming the quadratic that decides where a line meets a curve

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Worked Example: The discriminant used as the test for intersection

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Learn: What makes an expression a polynomial

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WAEC Prep: Expressions that are not polynomials, and why not

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Worked Example: The division algorithm for polynomials

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Worked Example: The remainder on dividing by x minus 3

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WAEC Prep: The remainder theorem checked against long division

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Learn: Solving a cubic once it has been factorised

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Worked Example: How many roots a cubic equation has

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WAEC Prep: The relation between the roots and the constant term

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