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Further Mathematics

AI prompts for senior secondary learners.

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1,044 prompts matching "Express 2x^2 - 8x + 3 in completed-square form"

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Common Mistakes: Checking a completed square by expanding it again

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

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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IGCSE Additional Maths Y11: Using sin squared plus cos squared equals one to simplify an expression — Teach Me

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me using sin squ

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IGCSE Additional Maths Y11: Forming the expression that is to be maximised — Teach Me

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me forming the e

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Complete the square for x^2 + 8x + 10 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 8x + 10 = 0 by

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Complete the square for 2x^2 + 4x - 3 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by

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Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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Use the quadratic formula on 2x^2 - 3x - 5 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 - 3x - 5 = 0 usi

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Use the quadratic formula on x^2 - 2x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin

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Spot my mistake using the quadratic formula

Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 - 8x + 15 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

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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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Teach me the completing the square when the coefficient of x squared is one

You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici

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