Question

PLS HELP ILL MARK CROWN

Which binomial is a factor of4x2+x−14?





Question 7 options:

4x+7

x+2

4x−2

x−1

Answer 1

4x-7 and x+2

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.

Answer 2

4x−7

Explanation:

Being given our polynomial:

`4x^(2)`+ 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.

:)