The value 1 is a solution for x^2-6x+5=0
A. True
B. False

x=1

TRUE because Factoring  x2-6x+5

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  +5

Step-1 : Multiply the coefficient of the first term by the constant   1 • 5 = 5

Step-2 : Find two factors of  5  whose sum equals the coefficient of the middle term, which is   -6 .

     -5    +    -1    =    -6    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  -1

                    x2 - 5x - 1x - 5

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

                   x • (x-5)

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

                    1 • (x-5)

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

                   (x-1)  •  (x-5)

            Which is the desired factorization

explanation:

step-by-step explanation: