1,045 prompts matching "The sum and product of a pair of complex roots"
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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
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
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
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
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
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
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
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
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
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
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
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
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
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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
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
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
IGCSE Additional Maths Y11: The term independent of x in a product of two expansions — Explain It Back
I am in SS 2. I have just studied the term independent of x in a product of two expansions
IGCSE Additional Maths Y11: The sum of the coefficients of an expansion — IGCSE Exam Practice
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st
IGCSE Additional Maths Y11: Differentiating a product of a trigonometric ratio and a polynomial — Spot My Mistake
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on dif