Question

PLEASE HELP I'LL GIVE YOU A BRAINLIEST!!!!!!!

Answer 1

A is the correct answer.

The first term is,  z2  its coefficient is  1 .
The middle term is,  +z  its coefficient is  1 .
The last term, "the constant", is  -2 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2 

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

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

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  2 
                     z2 - 1z + 2z - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    z • (z-1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (z-1)
Step-5 : Add up the four terms of step 4 :
                    (z+2)  •  (z-1)
             Which is the desired factorization

Equation at the end of step  3  : 3 • (z + 2) • (z - 1) = 0