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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Three roots in geometric progression in a cubic"

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Learn: The sum of the roots as minus b over a

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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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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Learn: What makes an expression in the roots symmetric

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

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Spot My Mistake: A pair with equal roots, meaning one solution only

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Learn: Setting out the division of a cubic by a linear expression

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Show All Working: What the factor theorem says about the roots

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

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Show All Working: Factorising a polynomial with fractional roots

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Learn: Solving a cubic once it has been factorised

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Spot My Mistake: Finding the remaining roots once one is known

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Show All Working: Solving a cubic that must first be rearranged

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

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Common Mistakes: A cubic equation arising from a volume problem

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Final Revision: A compound proposition built from three simple ones

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Worked Example: Conjunction in a three-variable truth table

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WAEC Prep: A truth table with three propositions in it

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