Which solution set represents the solution to x^2+10x-56=0 A. (4,14) B. (4,-14) C. (-4,14) D. (-4,-14)

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