I'd use trial and error since 2 is prime:
2nē - 11n - 63
The only two integers you can multiply to get 2 are 2 and 1,
so write:
(2x )(x )
The only way to factor 63 are
1*63
3*21
7*9
9*7
21*3
63*1
The last sign is - so we are looking for a difference
Start trying the factors that are closest together first:
(2x 9)(x 7) outer product = 14x, inner product = 9x, difference = 5x
(2x 7)(x 9) outer product = 18x, inner product = 7x, difference = 11x
So the last one will do it if we place the signs so that the
outer product and the inner product combine to -11x. So we get
(2x + 7)(x - 9)
Edwin
