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Further Mathematics

AI prompts for senior secondary learners.

πŸ“… 36-Week WAEC Study Guide for Further Mathematics β†’
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1,045 prompts matching "The sum and product of a pair of complex roots"

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

Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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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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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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Teach me the finding the modulus of a complex number

You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Worked example: find the modulus and argument of 3+4i

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

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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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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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Common Mistakes: Roots that are reciprocals of one another

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

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Final Revision: One root twice the other, and what that gives

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Final Revision: The degree of the product of two polynomials

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of t

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Practice: Factorising a quartic as the product of two quadratics

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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Spot My Mistake: Factorising the sum of two cubes

Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub

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Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

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IGCSE Additional Maths Y11: The term independent of x in a product of two expansions β€” Explain It Back

I am in SS 2. I have just studied the term independent of x in a product of two expansions

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IGCSE Additional Maths Y11: The sum of the coefficients of an expansion β€” IGCSE Exam Practice

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st

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IGCSE Additional Maths Y11: Differentiating a product of a trigonometric ratio and a polynomial β€” Spot My Mistake

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on dif

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