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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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341 prompts matching "Set-builder notation basics"

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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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

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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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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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Show All Working: Completing the square with a fractional coefficient of x

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Common Mistakes: Checking a completed square by expanding it again

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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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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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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

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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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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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