Answer:
(x-√274+17)(x+√274+17)
Step-by-step explanation:
Since, there are no way to factor this, we are gonna factor this by factoring over the splitting field
x^2+34x+15
x^2+34x+17^2-17^2+15
(x+17)^2-289+15
(x+17)^2-274
(x+17)^2-(√274)^2
(x+17-√274)(x+17+√274)
(x-√274+17)(x+√274+17)
