### Algebraic Synthetic Division

See the attached file. In problems 1 through 4, write out the polynomial that has the listed factors: Example: (x), (x-1) ANS: x2-x 1. (x-2), (x+3) 2. x, (x-2), (x-1) 3. (x-2i), (x+2i) 4. x, (x-1), (x+1), (x-2) In problems 5 through 8, write the polynominal having the listed roots: 5. i 6. 2, 1,