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Further Mathematics

AI prompts for senior secondary learners.

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IGCSE Additional Maths Y11: The area between a curve and a straight line — Teach Me

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I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me the area between a curve and a straight line the way the syllabus presents it, using its command words such as 'show that' and 'hence'. Work one example through step by step, then set me a short question in the same style.

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Factorise x^2 + 5x + 6

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise x^2 - 7x + 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise x^2 + 2x - 15

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 2x^2 + 7x + 3

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Factorise 3x^2 - 5x - 2

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^

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Factorise 6x^2 + x - 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 6x^

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Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 4x^2 - 25

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^

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Factorise x^2 - x - 20

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 2x^2 - 11x + 5

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Teach me quadratic trinomial factorisation

Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t

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Quiz me on factorising quadratic expressions

Act as my SS2 Further Maths tutor. Quiz me with five quadratic expressions to factorise by

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Give me practice on quadratic trinomial factorisation

Act as my SS2 Further Maths tutor. Give me ten practice questions on factorising quadratic

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Explain factorising quadratics back to me

Act as my SS2 Further Maths tutor. I want to check my understanding of factorising quadrat

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Spot my mistake in factorising x^2+5x+6

Act as my SS2 Further Maths tutor. I tried to factorise x^2 + 5x + 6 as (x+1)(x+6) but I'm

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WAEC-style factorisation question

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics exam-style question

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Worked example: factorising a harder trinomial

Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati

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Difference of two squares practice

Act as my SS2 Further Maths tutor. Teach me how to recognise and factorise a difference of

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Solve x^2 + 5x + 6 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

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