There is an infinite number of polynomials of the form ax^2 + bx + c, where a, b, and c are rational numbers, that are factors of the polynomial x^4 - 1. Any polynomial of the form (ax^2 + bx + c) where a, b, and c are rational numbers such that ax^2 + bx + c is a factor of x^4 - 1 would satisfy the problem statement. Since there are an infinite number of rational numbers, there are an infinite number of polynomials of the given form that could potentially be factors.

1. Andrew McAfee’s POTW For the week of 2/6/12 to 2/10/12 Due on Friday 2/10/12

2. How many different polynomials of the form with rational coefficients are factors of the polynomial