Problem 1. Since both and are algebraic: by What we have stated in class, so is their sum \\ + \"3. In this problem: we will show this directly by finding a polynomial p(:1:) with \\ + as a root. (1) Let :1: = \"Q + \"3. Calculate 11:2. (2) Your answer from (1) should be of the form k + lx/B for some integers 13,5. Calculate ($2 _ If)? (3) Use Part (2) to find a polynomial p(:1:) such that. p(\\/ + 3) = 0