Answer:
Step-by-step explanation:
Given polynomial:
Find its roots:
- x = (- 1 ± √(1 - 4*4*(-14)) / 8
- x = (- 1 ± √225) / 8
- x = ( -1 ± 15) / 8
- x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
- x₂ = (- 1 - 15) / 8 = - 16/2 = - 8
The factors:
- (x - x₁)(x - x₂) =
- (x - 7/4)(x + 8) =
- 1/4(4x - 7)(x + 8)
Option C is the correct one
