Question

How do you factor `n^2-11n+10`?

Answer 1

We need two numbers the sum of which `=-11` and their product `=10`

Explanation:

You can factor 10 in several ways:
`10=1*10or =2*5`
But also:
`10= (-1)* (-10)or=(-2)*(-5)`

You will see that only `(-1)+(-10)=-11`

Result:
`=(n-1)(n-10)`