Find the rational roots of x^4+3x^3+3x^2-3x-4=0
A. 0,1
B. 1,2
C. 1,-1
D. -1,2
To find the rational roots of the equation x^4 + 3x^3 + 3x^2 - 3x - 4 = 0, we can use the Rational Root Theorem. This theorem states that if a rational root exists, it will be of the form p/q, where p is a factor of the constant term (in this case, -4) and q is a factor of the leading coefficient (in this case, 1).
The factors of -4 are 1, -1, 2, and -2. The factors of 1 are 1 and -1.
By trying out each of these possible rational roots, we can see that the equation is satisfied when x = 1 and x = -1. Therefore, the rational roots are x = 1 and x = -1.
The correct answer is C. 1, -1.