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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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538 prompts matching "Index notation for a nested root"

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

Teach me writing the sum and product of the roots from the coefficients

You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root

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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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Explain sum and product of roots back to me

Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Give me memory tricks for Further Maths formulas

Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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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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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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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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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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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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Worked Example: The product of the roots as c over a

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

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient

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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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Learn: Forming the quadratic that decides where a line meets a curve

You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec

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Practice: Polynomial notation such as P of x

Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not

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Worked Example: How many roots a cubic equation has

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

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Quiz: A cubic with three distinct real roots

Act as my SS2 Further Mathematics tutor and quiz me on a cubic with three distinct real ro

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