Question

13(x² + x - 56) /26(x + 8)​

Answer 1

Answer:

(x-7)/2

Step-by-step explanation:

Factoring  x^2 + x - 56

Rewrite the polynomial splitting the middle term using the two factors found using factorization ,  -7  and  8  

                    x^2 - 7x + 8x - 56

Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   8 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+8)  •  (x-7)

            Which is the desired factorization

Cancel out  (x+8)  which appears on both sides of the fraction line.

 $\frac{13(x-7)}{26}$  

hence (x-7) / 2 is the final answer