how to solve these two question?

(3 marks) Consider the polynomial p(z) = 23 - 14z2 + 90z -200 i) The remainder when p(z) is divided by z - i is equal to and the remainder when p(z) is divided by z - 4 is equal to (a reminder: i is represented by | in maple). ii) Using the previous parts of the question or otherwise, we can factor p(z) p( z) = (z - a)(z-b-ic)(z-btic). where a, b, c > 0 E R. The values of the constants a, b and c can be determined to be a = , b = P and c =Express cos 56 in terms of powers of cos 9. Please show all relevant steps of working (this should take you about 5 lines). For ease of typing, you may use the abbreviations c = c059 and s = sin9. [a :: MP0 mails Ql E El Q zla Q: :: | Eli Words: 0 A