Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
