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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Rationalising a denominator of the form a plus root b using the conjugate"

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

Build a quadratic equation from given roots

Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a

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Worked example: solving a quadratic with complex roots

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Worked example: arranging letters of a word

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of

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Worked example: finding the angle between two vectors

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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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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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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Complete the square for x^2 + 6x + 5 = 0

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Complete the square for x^2 - 4x - 1 = 0

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

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

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Complete the square for x^2 - 10x + 21 = 0

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

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Complete the square for 3x^2 + 6x - 2 = 0

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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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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