Using similar triangles, what is x?

Option 1,2 and 5 are true.

Step-by-step explanation:

Given : The polynomial  

To find : Which statements are true about the polynomial? Check all that apply.

Solution :

First we find the factor of the given polynomial.

Now, We check one by one.      

1) The terms have a common factor.

Yes, it is true they have common factor i.e, 4x.

2) The terms   have a common factor.

Yes, it is true they have common factor i.e, .

3) The polynomial is prime.  

No, It is not prime, and the factored polynomial is 4(2x-3)

4) The factored polynomial is .

No, It is not correct. As factored of polynomial is

5) The polynomial can be grouped in different ways to factor by grouping.  

Yes, it is true.

Therefore, Option 1,2 and 5 are true.