Question

Kindly solve with steps. x²-6x-5​

Answer 1

Step-by-step explanation:

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

Equation at the end of step1:

(x - 1) • (x - 5) = 0