Question

Find the missing factor. n^2+4n-5=(n+5)()

Answer 1

(n + 5)(n - 1)
= n^2 -n + 5n - 5 (FOIL)
= n^2 + 4n - 5

Answer:
Missing factor: (n - 1)

Answer 2

To solve this problem you must apply the proccedure shown below:
 1. You have the following quadratic equation given in the problem above:
  n²+4n-5; and you have one factor:  (n+5)
 2. Therefore, you must find a number whose sum with 5 be 4 and when their product be -5. Keeping this on mind, you have:
 (n+5)(n-1)
 3. To verify it, you can apply the distributive property:
  (n+5)(n-1)=n²+4n-5
 The answer is: (n-1)