What is the answer to the blank?

(1 mark) Let p(:z:) be a real polynomial of degree 5. You are given that 'p( 8 5 2') = 0. Find a real quadratic factor of 11(1):) and enter it in the box below using Maple syntax. (Don't forget to use " for mulitplication.) A real quadratic factor of p(a:) is :] a a (2 marks) Let 2 be a complex number with Izi = 3 and Arg(z) = % 7r . (a) Write down the Cartesian form of z . z= [ZN [ You may give your answer in unsimplified form but remember to use Maple syntax to write your answer. For example, 2 + 32' would have to be entered as 2+3*I .] (b) Find the modulus and principal argument of 2686 . m: :lm [Your answer must be exact but you may enter it in unsimpl'rfied form ab . ] W) :n @ [Give your answer in exact form as a multiple of 7r such as, for example, 91/2 . ]