Question

3/4 - 6x is the factor of​

Answer 1

Answer:

Mark me as Brainlist

Step-By-Step:

Step 1: Equation at the end of step 1

 ((3 • (x4)) -  (2•3x2)) +  3  = 0  

STEP  

2

:

Equation at the end of step

2

:

 (3x4 -  (2•3x2)) +  3  = 0  

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x4 - 6x2 + 3  =   3 • (x4 - 2x2 + 1)  

Trying to factor by splitting the middle term

4.2     Factoring  x4 - 2x2 + 1  

The first term is,  x4  its coefficient is  1 .

The middle term is,  -2x2  its coefficient is  -2 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -2 .

     -1    +    -1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1  

                    x4 - 1x2 - 1x2 - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x2-1)

Step-5 : Add up the four terms of step 4 :

                   (x2-1)  •  (x2-1)

            Which is the desired factorization