What is the constant in the following expression? -8x^2+17y+19

(x + 2) • (x - 19)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -38 = -38

Step-2 : Find two factors of  -38  whose sum equals the coefficient of the middle term, which is   -17 .

     -38    +    1    =    -37

     -19    +    2    =    -17    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -19  and  2

                    x2 - 19x + 2x - 38

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

                   x • (x-19)

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

                   2 • (x-19)

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

                   (x+2)  •  (x-19)

            Which is the desired factorization

answer

step-by-step explanation: