Answer:
(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
