Question

Find the factors of given equation or Factorise completely: n²-2n-3

Answer 1

Given equation- n²-2n-3 

First step is to find factors of -3 that sum to -2 .

By looking into the question we can find that two factors 

For the given equation the factors of -3 that sum to -2 are 1 and -3.So,

                        = n²-2n-3

                        = n-3n+n-3

                       = n(n-3)+1(n-3)

                       = (n+1) (n-3)

      Hence the factors of given equation n²-2n-3 are (n+1) and (n-3)

 

 

Hence the factors of given equation are (n+1) (n-3)