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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,311 prompts matching "What the factor theorem says about the roots"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Common Mistakes: Symmetric functions when the three roots of a cubic are involved

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

Act as my SS3 Further Mathematics tutor and quiz me on the product of the roots of a cubic

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Practice: Finding the third root of a cubic when two are known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding the th

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Spot My Mistake: The relations between roots and coefficients for a quartic

Act as my SS3 Further Mathematics tutor. Work a question on the relations between roots an

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Final Revision: Checking that the roots found satisfy the original equation

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Spot My Mistake: The point at which a loaded beam will tip about its support

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WAEC Prep: A couple, and why its moment is the same about every point

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Common Mistakes: What becomes of the tension when the string goes slack

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Quiz: The centripetal force, and what supplies it in a given situation

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Learn: Hooke's law, and what the modulus of elasticity means

You are my personal SS3 Further Mathematics tutor. Teach me Hooke's law, and what the modu

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Give me an exam formula sheet for the binomial theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the binomia

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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What a function is and function notation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

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