Specialist Maths 3/4

Complex Numbers Quiz

1. If 1 2z i= + , express 1z

in the form , , .a bi a b R+ ∈

2 marks 2. Express 5( 3 )i− − in the form ( )rcis θ .

3 marks 3. Find all the solutions of 3 26 13 20 0z z z− + − = given that 1 2z i= + is one solution.

3 marks

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4. 3 2( ) (4 ) (5 4 ) 5 ,P z z i z i z i= − + + + − where .z C∈ Given that z – i is a factor of P(z), find the other factors.

2 marks

END OF QUIZ