Question

How do I factor this it's so tricky

Answer 1

Since it's ugly to find the factors of 784, let's try to simplify this a bit.
Let's divide everything by 49 to yield a monic polynomial.


`n^(2) - (56n)/(49) + (16)/(49)`

`n^(2) - (8n)/(7) + (16)/(49)`

`n^(2) - 2(4n)/(7) + (16)/(49)`

We now have a perfect square;
`(16)/(49) = (4^(2))/(7^(2))`
So, we can say that it becomes:

`(n - (4)/(7))^(2)`

`= (7n - 4)^(2)`