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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 "Where the surds sit on the number line"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Worked Example: Halving the coefficient of x and squaring it

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

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

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

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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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Learn: Factorising a cubic into three linear factors

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

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Explain Back: A polynomial with a repeated linear factor

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WAEC Prep: Factorising the difference of two cubes

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Common Mistakes: Factorising fully, and knowing when to stop

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