Faelyn grouped the terms and factored the gcf out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. her work is shown.
step 1: (6x4 – 8x2) + (3x2 + 4)
step 2: 2x2(3x2 – 4) + 1(3x2 + 4)
faelyn noticed that she does not have a common factor. which accurately describes what faelyn should do next?

faelyn should realize that her work shows that the polynomial is prime.

faelyn should go back and regroup the terms in step 1 as (6x4 + 3x2) – (8x2 + 4).

in step 2, faelyn should factor only 2x out of the first expression.

faelyn should factor out a negative from one of the groups so the binomials will be the same.

Option 2 -  Faelyn should go back and regroup the terms in Step 1 as

Step-by-step explanation:

Given : Faelyn grouped the terms and factored the GCF out of the groups of the polynomial . Her work is shown.

Step 1:  

Step 2:

Faelyn noticed that she does not have a common factor.  

To find : Which accurately describes what Faelyn should do next?

Solution :

If we go back and regroup the factor in step 1 we may get the factors.

Step 1:  

Step 2:

Step 3:

So, Faelyn should go back and regroup the terms in Step 1 as

She get the factored form as :

Therefore,Option 2 is correct.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .