Number theory

[Primarygun]

1.Why if f(x) is not divisible by 4, then, it has no integral solutions?

2. If p l ab, then p l a or p l b.

Does this mean that p could divide a and b at the same time ?

[matt grime]

1. Makes no sense. Here's a guess: if f(x) is x+1 is not divisible by 4 and definitely has an integral root, whereas if f(x) is 4 then f is divisible by 4 and has no integer roots (consider it as the constant function). NB, functions don't have solutions, perhaps you could say what f is?

 

2. Of course.

[Primarygun]

I'll read the question in the book which will be available for me tomorrow in library and tell you where I'd mistaken