Answer:
(w + 5) • (w - 7) = A
Explanation:
factoring w2-2w-35
The first term is, w2 its coefficient is 1 .
The middle term is, -2w its coefficient is -2 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35
Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -2 .
-35 + 1 = -34
-7 + 5 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 5
w2 - 7w + 5w - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
w • (w-7)
Add up the last 2 terms, pulling out common factors :
5 • (w-7)
Step-5 : Add up the four terms of step 4 :
(w+5) • (w-7)
(w + 5) • (w - 7) = 0