Roots of complex numbers (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
ShowHide
Practise the questions
10 questions from this quiz
What does the Fundamental Theorem of Algebra state?
What does the Fundamental Theorem of Algebra state?
Every polynomial has complex roots
What is factorisation in polynomial equations?
What is factorisation in polynomial equations?
Expressing as simpler factors
What does De Moivre's Theorem help with?
What does De Moivre's Theorem help with?
Calculating n-th roots of complex numbers
What is the Argand Plane used for?
What is the Argand Plane used for?
Representing complex numbers graphically
What are the roots of the equation z^2 + 1 = 0?
What are the roots of the equation z^2 + 1 = 0?
i and -i
What are the cube roots of unity?
What are the cube roots of unity?
1, ω, ω^2
What does the symmetry in the Argand Plane indicate?
What does the symmetry in the Argand Plane indicate?
Roots are evenly spread
What is the first step in solving z^3 - 1 = 0?
What is the first step in solving z^3 - 1 = 0?
Factorise the polynomial
What does the formula in De Moivre's Theorem represent?
What does the formula in De Moivre's Theorem represent?
Roots of complex numbers
Why is understanding complex roots important?
Why is understanding complex roots important?
They help solve polynomial equations