Why can the following problem NOT be factored?

Question

x2−7x+9

2
−
7

+
9
(1 point)
Responses

The coefficients are all odd integers.
The coefficients are all odd integers.

There is not a greatest common factor.
There is not a greatest common factor.

There are no two integers that give a product of 9 and a sum of -7.
There are no two integers that give a product of 9 and a sum of -7.

Sorry, but this problem can be factored!

Answer 1

The statement "There are no two integers that give a product of 9 and a sum of -7" is incorrect. In fact, the problem x^2−7x+9 can be factored as (x-4)(x-3).