2x³ - 3x² + 32x + 17 =
(2x + 1)(x²- 2x + 17)
2x + 1 = 0
x = -1/2
x²- 2x + 17 = 0 (This expression can't be factoriced)
So, using the general formula:
[tex]x\text{ = }\frac{2\text{ }\pm\text{ }\sqrt[]{(-2)^2\text{ - 4 x 1 x 17}}}{2}[/tex]
x = 1 + 4i and x = 1 - 4i
