X2 - 45x + 324 = 0 . middle term splitting method?

 Factoring  x2-45x+324 

The first term is,  x2  its coefficient is  1 .
The middle term is,  -45x  its coefficient is  -45 .
The last term, "the constant", is  +324 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 324 = 324 

Step-2 : Find two factors of  324  whose sum equals the coefficient of the middle term, which is   -45 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -9 
                     x2 - 36x - 9x - 324

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-36)
              Add up the last 2 terms, pulling out common factors :
                    9 • (x-36)
Step-5 : Add up the four terms of step 4 :
                    (x-9)  •  (x-36)
             Which is the desired factorization

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation: