The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -70
Step-1 : Multiply the coefficient of the first term by the constant 1 • -70 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -3 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 7
x2 - 10x + 7x - 70
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
7 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x+7) • (x-10)
