Question

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

Answer 1

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