Answer:
8x^2+17x-4 = 1/16 (16x + 17 - √417) (16x + 17 + √417)
Step-by-step explanation:
ax²+bx+c=0
roots: x = (-b±√b²-4ac) / 2a ... a=8 b=17 c=-4
roots: (-17±√17²-4*8*(-4)) / (2*8) = (-17±√17²-4*8*(-4)) / (2*8)
= (-17±√417) / 16
8x^2+17x-4 = (x - (-17+√417) / 16) (x - (-17-√417) / 16)
= 1/16 (16x + 17 - √417) (16x + 17 + √417)