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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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756 prompts matching "Structured question: unknown coefficient from a factor condition"

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

Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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Final Revision: A word problem solved by factorising a quadratic

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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

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

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Show All Working: Choosing between factorising and the formula

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

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Quiz: Solving the quadratic that results from the substitution

Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results

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Explain Back: The condition for the line never to meet the curve

I have just studied the condition for the line never to meet the curve in my SS2 Further M

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WAEC Prep: Dividing by a factor of the form ax plus b

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Explain Back: Finding a coefficient when the remainder is given

I have just studied finding a coefficient when the remainder is given in my SS2 Further Ma

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Worked Example: Testing a list of candidates to find a factor

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on testin

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Spot My Mistake: The factor theorem applied to a quartic

Act as my SS2 Further Mathematics tutor. Work a question on the factor theorem applied to

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WAEC Prep: The factor theorem for a factor of the form ax plus b

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor

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Common Mistakes: Using the factor theorem before dividing

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on usi

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

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Explain Back: A polynomial with a repeated linear factor

I have just studied a polynomial with a repeated linear factor in my SS2 Further Mathemati

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