Extracted text: 6. Find all the roots of the following polynomials: a) p(r) = a* – 3.r +x² + 7x – 30 and b) p (r) = r* - 4.r + 3² + 14:r + 26. Hint. There is a mathematical statement that says if p (r) is a polynomial with real coeffi- cients and a + bi is a complex root of p (x), then a – bi is also a root of p (r). If, respectively, 1- 2i and 3+ 2i are roots of the polynomials a) and b) given above, then applying the statement will give a second root. Find the other roots. Do not use any caleulating devices to find the other roots. Show your work for finding the other roots. 1 Bonus: Let A = {-3, –2, –1,0, 1,2,3} and B = {-10, –9, ...,9, 10} be sets. A function f: A - B is defined by f (n) = { n2, if ne{-1,0,1) -n, if ne{-2,2} n2-9, if ne(-3,3) a) Write the function f (n) as a set of ordered pairs. b) What is the domain, codomain, and range of the function? c) What is f (X) where X = {-3, –2, –1}?