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Further Mathematics

AI prompts for senior secondary learners.

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775 prompts matching "Structured question: cubic equation from three given roots"

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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

Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani

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Show All Working: A simultaneous pair in which the second equation is a circle

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Explain Back: Evaluating P of 2 for a given polynomial

I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics

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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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Spot My Mistake: Finding two coefficients from two remainder conditions

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

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Final Revision: A factor theorem question set in the WAEC style

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

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WAEC Prep: The relation between the roots and the constant term

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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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