Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

PLS HELP ILL MARK CROWN


Which binomial is a factor of4x2+x−14?





Question 7 options:

4x+7

x+2

4x−2

x−1

Sagot :

synicalcuh

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.

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.