Answer:
C
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -56 = -56
Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -10 .
-56 + 1 = -55
-28 + 2 = -26
-14 + 4 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 4
x2 - 14x + 4x - 56
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-14)
Add up the last 2 terms, pulling out common factors :
4 • (x-14)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-14)
Which is the desired factorization
Equation at the end of step 1 :
(x + 4) • (x - 14) = 0
