Find the possible rational roots and use synthetic division to find the first zero. I chose x=1 (which represents the factor "x-1")
1║2 -7 -13 63 -45 ║ 2 -5 -18 45 2 -5 -18 45 0 (x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.
Use synthetic division on the decomposed polynomial to find the next zero. I chose x = 3 (which represents the factor "x-3")
3║2 -5 -18 45 ║ 6 3 -45 2 1 -15 0
Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors. Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.
