Complex Numbers

Question 1

i

Answer 1

Square root of 1

Question 2

i squared

Answer 2

-1

Question 3

i to the power of 3

Answer 3

-i

Question 4

i to the power of 4

Answer 4

1

Question 5

Imaginary numbers go on what axis

Answer 5

Y

Question 6

Real numbers go on what axis

Answer 6

X

Question 7

Multiply by i and the shape moves

Answer 7

90° anti-clockwise

Question 8

Multiply by -i and the shape moves

Answer 8

90° clockwise

Question 9

What is the conjugate of an imaginary number

Answer 9

Change sign of imaginary part

Question 10

Explain why a polynomial to the power of three must have one real root of the other two are imaginary

Answer 10

The remaining must be real as complex numbers come in pairs

Question 11

Polar form

Answer 11

Modulus(cosX+isinX)