Answer :
Answer:
4x−7
Step-by-step explanation:
Being given our polynomial:
[tex]4x^{2}[/tex]+ x - 14,
We must find the roots to get our answer.
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 we came up with:
(x - x₁)(x - x₂)
(x - 7/4)(x + 8)
1/4(4x - 7)(x + 8)
So,
The correct option is C.
:)
Answer:
4x-7 and x+2
Step-by-step explanation:
x+2 actually divides into 4x^2+-14 perfectly using synthetic division. it leaves 4x-7.
this means 4x-7 and x+2 are both factors.